Curation by apogorzelska 6 months ago for query algebraic topology
Original results
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https://mathoverflow.net/a/589 — found via Mwmbl
at.algebraic topology - Does homology have a coproduct? - MathOv…
Standard algebraic topology defines the cup product which defines a ring structure on the cohomology of a topological space. This ring structure arises b…
-
http://mathoverflow.net/a/173566 — found via Mwmbl
at.algebraic topology - Why localize spaces with respect to homo…
A basic construction in algebraic topology is the localization of spaces or spectra with respect to a homology theory: one formally inverts the $E$-homolo…
-
http://mathoverflow.net/q/31568 — found via Mwmbl
at.algebraic topology - "Affine communication" for topological m…
There is a situation that comes up regularly in algebraic topology when giving proofs of facts about manifolds, like Poincare duality and the like. The ty…
-
https://mathoverflow.net/q/67318 — found via Mwmbl
at.algebraic topology - Map from simplex to itself that preserve…
I believe this may be a standard algebraic topology problem, so I apologize in advance if this belongs in stackexchange (it's not a homework problem, how…
-
https://mathoverflow.net/a/469104 — found via Mwmbl
at.algebraic topology - What are some good examples of spectral …
The difference between algebraic geometry and algebraic topology is that in AG, you usually hope that your spectral sequences degenerate immediately at t…
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http://arxiv.org/abs/1304.7846 — found via Mwmbl
[1304.7846] Algebraic Topology
Title:Algebraic Topology Abstract:The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from ap…
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http://arxiv.org/list/math.AT/2014-01 — found via Mwmbl
Algebraic Topology Jan 2014
Comments: 44 pages. Accepted for Topology and its Applications. AFTER approving the proofs, I found two typos in the statement of the main result (2 char…
-
http://arxiv.org/list/math.AT/2014-12 — found via Mwmbl
Algebraic Topology Dec 2014
Comments: This is a 4 page summary of our paper "Topology of Moduli Spaces of Free Group Representations in Real Reductive Groups" (arXiv:1403.3603), it …
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http://arxiv.org/list/math.AT/2014-02 — found via Mwmbl
Algebraic Topology Feb 2014
Comments: 17 pages. Since arXiv:1401.3618 is being published in Topology and its Applications, I have replaced all overlapping material with references t…
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http://arxiv.org/list/math.AT/2003-11 — found via Mwmbl
Algebraic Topology Nov 2003
Comments: 32 pages, 1 figure. This is an extended version of my preprint math.GT/0310218. Section 8.4 on secondary obstructions to sliceness is modified;…
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http://arxiv.org/list/math.AT/2018-07 — found via Mwmbl
Algebraic Topology Jul 2018
Comments: First version to appear in the proceedings of the ICM 2018. The second version has some improvements in the presentation. In particular in sect…
-
http://arxiv.org/list/math.AT/2017-04 — found via Mwmbl
Algebraic Topology Apr 2017
Comments: The previous Subsection 4.1 and Section 5 are removed, as they relied on a false result from another paper: it is not true that the localizatio…
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http://arxiv.org/list/math.AT/2020-04 — found via Mwmbl
Algebraic Topology Apr 2020
Comments: v4. Sharpened the statement of a result at the beginning of intro. v3. Added a concrete corollary of the main results to the intro. v2. Added a …
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http://arxiv.org/list/math.AT/2013-11 — found via Mwmbl
Algebraic Topology Nov 2013
Comments: Expanded journal version, to appear in Journal of Computational Geometry. Includes a proof that no definition of induced matching can be fully f…
-
http://arxiv.org/list/math.AT/2011-10 — found via Mwmbl
Algebraic Topology Oct 2011
Comments: 30 pages, current version is a major revision; the main result is extended to a more general setting using the language of cellular stratified …
-
http://arxiv.org/list/math.AT/2015-09 — found via Mwmbl
Algebraic Topology Sep 2015
Comments: This is a much expanded second version of the paper. The main results have been extended and sharpened by considering the $s$-th higher topolog…
-
http://arxiv.org/list/math.AT/2015-03 — found via Mwmbl
Algebraic Topology Mar 2015
Comments: There is a sequel to this paper: title "Configuration categories and homotopy automorphisms". v2: some typos corrected, v3: some errors in sect…
-
http://arxiv.org/list/math.AT/2014-09 — found via Mwmbl
Algebraic Topology Sep 2014
Comments: 118 pages. Final version ; accepted for publication in Astérisque. The presentation of the material is reorganized and generally improved. More…
-
http://arxiv.org/list/math.AT/2017-11 — found via Mwmbl
Algebraic Topology Nov 2017
Comments: 47 pages; v2: fixed some errors in the discussion of H_2; v3: reorganized to be more accessible and concrete, based on referee suggestions; v4:…
-
http://arxiv.org/list/math.AT/2016-09 — found via Mwmbl
Algebraic Topology Sep 2016
Comments: We changed the title, the abstract, and improved the exposition. We also added better explanations on the modular operads. This is the final ve…
-
http://arxiv.org/list/math.AT/2012-06 — found via Mwmbl
Algebraic Topology Jun 2012
Comments: 15 pages. To appear in Geometriae Dedicata. Changes in v4: Removed material on the topological Atiyah-Segal map, which will appear in a separat…
-
http://arxiv.org/list/math.AT/2019-05 — found via Mwmbl
Algebraic Topology May 2019
Comments: 59 pages. Version 5 addresses an error appearing in the published version having to do with an ill-defined version of Cech cohomology, which is…
-
http://arxiv.org/list/math.AT/2017-10 — found via Mwmbl
Algebraic Topology Oct 2017
Comments: 18 pages. Minor corrections. The most important one is in the table for $g=1$ on page 16: two columns had been swapped in the previous version.…
-
http://arxiv.org/list/math.AT/2012-02 — found via Mwmbl
Algebraic Topology Feb 2012
Comments: Withdrawn as most of what I intended here now appears in complete detail in: Global Fukaya category and the space of A_\infty categories I and …
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http://arxiv.org/list/math.AT/2023-05 — found via Mwmbl
Algebraic Topology May 2023
Comments: v2. In the previous version, in § 2, I required certain dg algebras to be concentrated in specific degrees where these requirements were meant …
-
http://arxiv.org/list/math.AT/2010-05 — found via Mwmbl
Algebraic Topology May 2010
Comments: Minor changes, section on Frobenius algebra structure removed. Final version: to appear in Central European Journal of Mathematics under title …
-
http://arxiv.org/list/math.AT/2016-03 — found via Mwmbl
Algebraic Topology Mar 2016
Comments: Version 6 is the final, accepted, and published version in TAC. Section 8 of v5 on simplicial refinements has been removed from v6. The main th…
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http://arxiv.org/list/math.AT/2023-01 — found via Mwmbl
Algebraic Topology Jan 2023
Comments: Peter Bubenik has been removed as an author because he does not feel that his contribution merits joint authorship. His contribution is instead…
-
http://arxiv.org/list/math.AT/2014-08 — found via Mwmbl
Algebraic Topology Aug 2014
Comments: 22 pages, we took special care in this revised version in distinguishing fiber sets from single fibers, in indicating what we mean by the loop …
-
http://arxiv.org/list/math.AT/2020-06 — found via Mwmbl
Algebraic Topology Jun 2020
Comments: v2: added Lemma 6.10 about a nice metrization of the Rips complex and further minor changes. 55 + $ε$ pages v3: Numerous corrections and improv…
-
http://arxiv.org/list/math.AT/2012-04 — found via Mwmbl
Algebraic Topology Apr 2012
Comments: This has been withdrawn by the author. The same results as in this paper appear in "The ghost length and duality on the chain and cochain type …
-
http://arxiv.org/list/math.AT/2016-01 — found via Mwmbl
Algebraic Topology Jan 2016
Comments: To appear in the Journal of Pure and Applied Algebra's special issue in honor of Chuck Weibel, edited by Guillermo Cortiñas, Eric Friedlander, …
-
https://arxiv.org/list/math.AT/2003-12 — found via Mwmbl
Algebraic Topology Dec 2003
Comments: This is a paper on geometric topology which generalizes in the stratified context the procedure of Davis for blowing up a smooth manifold along…
-
https://arxiv.org/list/math.AT/1999-07 — found via Mwmbl
Algebraic Topology Jul 1999
Comments: This is a substantially revised and shortened version. The argument has been streamlined by a more natural organization of the "minimal bad" cas…
-
https://arxiv.org/list/math.AT/2009-04 — found via Mwmbl
Algebraic Topology Apr 2009
Comments: 63 pages. Concluding section reduced and most extra remarks of the initial version removed in v5. Core of the paper unchanged. Minor updates in…
-
https://arxiv.org/list/math.AT/2012-11 — found via Mwmbl
Algebraic Topology Nov 2012
Comments: Completely reorganized to focus more attention on the Margolis localizations, giving more conceptual, less computational proofs. Submitted to t…
-
https://arxiv.org/list/math.AT/2005-04 — found via Mwmbl
Algebraic Topology Apr 2005
Comments: This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411329. Both the top…
-
https://arxiv.org/list/math.AT/2011-01 — found via Mwmbl
Algebraic Topology Jan 2011
Comments: 55 pages. With appendix by Rosona Eldred. Submitted to Transactions of the AMS. New version adds section 7 on convergence of the cotriple tower…
-
https://arxiv.org/list/math.AT/2018-05 — found via Mwmbl
Algebraic Topology May 2018
Comments: Final Version. 26 pages. To appear in Advances in Mathematics. In this paper we generalize the construction in arXiv:1612.00930. The subtle poi…
New results
-
https://mathoverflow.net/a/589 — found via Mwmbl
at.algebraic topology - Does homology have a coproduct? - MathOv…
Standard algebraic topology defines the cup product which defines a ring structure on the cohomology of a topological space. This ring structure arises b…
-
http://mathoverflow.net/a/173566 — found via Mwmbl
at.algebraic topology - Why localize spaces with respect to homo…
A basic construction in algebraic topology is the localization of spaces or spectra with respect to a homology theory: one formally inverts the $E$-homolo…
-
http://mathoverflow.net/q/31568 — found via Mwmbl
at.algebraic topology - "Affine communication" for topological m…
There is a situation that comes up regularly in algebraic topology when giving proofs of facts about manifolds, like Poincare duality and the like. The ty…
-
https://mathoverflow.net/q/67318 — found via Mwmbl
at.algebraic topology - Map from simplex to itself that preserve…
I believe this may be a standard algebraic topology problem, so I apologize in advance if this belongs in stackexchange (it's not a homework problem, how…
-
https://mathoverflow.net/a/469104 — found via Mwmbl
at.algebraic topology - What are some good examples of spectral …
The difference between algebraic geometry and algebraic topology is that in AG, you usually hope that your spectral sequences degenerate immediately at t…
-
http://arxiv.org/abs/1304.7846 — found via Mwmbl
[1304.7846] Algebraic Topology
Title:Algebraic Topology Abstract:The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from ap…
-
http://arxiv.org/list/math.AT/2014-01 — found via Mwmbl
Algebraic Topology Jan 2014
Comments: 44 pages. Accepted for Topology and its Applications. AFTER approving the proofs, I found two typos in the statement of the main result (2 char…
-
http://arxiv.org/list/math.AT/2014-12 — found via Mwmbl
Algebraic Topology Dec 2014
Comments: This is a 4 page summary of our paper "Topology of Moduli Spaces of Free Group Representations in Real Reductive Groups" (arXiv:1403.3603), it …
-
http://arxiv.org/list/math.AT/2014-02 — found via Mwmbl
Algebraic Topology Feb 2014
Comments: 17 pages. Since arXiv:1401.3618 is being published in Topology and its Applications, I have replaced all overlapping material with references t…
-
http://arxiv.org/list/math.AT/2003-11 — found via Mwmbl
Algebraic Topology Nov 2003
Comments: 32 pages, 1 figure. This is an extended version of my preprint math.GT/0310218. Section 8.4 on secondary obstructions to sliceness is modified;…
-
http://arxiv.org/list/math.AT/2018-07 — found via Mwmbl
Algebraic Topology Jul 2018
Comments: First version to appear in the proceedings of the ICM 2018. The second version has some improvements in the presentation. In particular in sect…
-
http://arxiv.org/list/math.AT/2017-04 — found via Mwmbl
Algebraic Topology Apr 2017
Comments: The previous Subsection 4.1 and Section 5 are removed, as they relied on a false result from another paper: it is not true that the localizatio…
-
http://arxiv.org/list/math.AT/2020-04 — found via Mwmbl
Algebraic Topology Apr 2020
Comments: v4. Sharpened the statement of a result at the beginning of intro. v3. Added a concrete corollary of the main results to the intro. v2. Added a …
-
http://arxiv.org/list/math.AT/2013-11 — found via Mwmbl
Algebraic Topology Nov 2013
Comments: Expanded journal version, to appear in Journal of Computational Geometry. Includes a proof that no definition of induced matching can be fully f…
-
http://arxiv.org/list/math.AT/2011-10 — found via Mwmbl
Algebraic Topology Oct 2011
Comments: 30 pages, current version is a major revision; the main result is extended to a more general setting using the language of cellular stratified …
-
http://arxiv.org/list/math.AT/2015-09 — found via Mwmbl
Algebraic Topology Sep 2015
Comments: This is a much expanded second version of the paper. The main results have been extended and sharpened by considering the $s$-th higher topolog…
-
http://arxiv.org/list/math.AT/2015-03 — found via Mwmbl
Algebraic Topology Mar 2015
Comments: There is a sequel to this paper: title "Configuration categories and homotopy automorphisms". v2: some typos corrected, v3: some errors in sect…
-
http://arxiv.org/list/math.AT/2014-09 — found via Mwmbl
Algebraic Topology Sep 2014
Comments: 118 pages. Final version ; accepted for publication in Astérisque. The presentation of the material is reorganized and generally improved. More…
-
http://arxiv.org/list/math.AT/2017-11 — found via Mwmbl
Algebraic Topology Nov 2017
Comments: 47 pages; v2: fixed some errors in the discussion of H_2; v3: reorganized to be more accessible and concrete, based on referee suggestions; v4:…
-
http://arxiv.org/list/math.AT/2016-09 — found via Mwmbl
Algebraic Topology Sep 2016
Comments: We changed the title, the abstract, and improved the exposition. We also added better explanations on the modular operads. This is the final ve…
-
http://arxiv.org/list/math.AT/2012-06 — found via Mwmbl
Algebraic Topology Jun 2012
Comments: 15 pages. To appear in Geometriae Dedicata. Changes in v4: Removed material on the topological Atiyah-Segal map, which will appear in a separat…
-
http://arxiv.org/list/math.AT/2019-05 — found via Mwmbl
Algebraic Topology May 2019
Comments: 59 pages. Version 5 addresses an error appearing in the published version having to do with an ill-defined version of Cech cohomology, which is…
-
http://arxiv.org/list/math.AT/2017-10 — found via Mwmbl
Algebraic Topology Oct 2017
Comments: 18 pages. Minor corrections. The most important one is in the table for $g=1$ on page 16: two columns had been swapped in the previous version.…
-
http://arxiv.org/list/math.AT/2012-02 — found via Mwmbl
Algebraic Topology Feb 2012
Comments: Withdrawn as most of what I intended here now appears in complete detail in: Global Fukaya category and the space of A_\infty categories I and …
-
http://arxiv.org/list/math.AT/2023-05 — found via Mwmbl
Algebraic Topology May 2023
Comments: v2. In the previous version, in § 2, I required certain dg algebras to be concentrated in specific degrees where these requirements were meant …
-
http://arxiv.org/list/math.AT/2010-05 — found via Mwmbl
Algebraic Topology May 2010
Comments: Minor changes, section on Frobenius algebra structure removed. Final version: to appear in Central European Journal of Mathematics under title …
-
http://arxiv.org/list/math.AT/2016-03 — found via Mwmbl
Algebraic Topology Mar 2016
Comments: Version 6 is the final, accepted, and published version in TAC. Section 8 of v5 on simplicial refinements has been removed from v6. The main th…
-
http://arxiv.org/list/math.AT/2023-01 — found via Mwmbl
Algebraic Topology Jan 2023
Comments: Peter Bubenik has been removed as an author because he does not feel that his contribution merits joint authorship. His contribution is instead…
-
http://arxiv.org/list/math.AT/2014-08 — found via Mwmbl
Algebraic Topology Aug 2014
Comments: 22 pages, we took special care in this revised version in distinguishing fiber sets from single fibers, in indicating what we mean by the loop …
-
http://arxiv.org/list/math.AT/2020-06 — found via Mwmbl
Algebraic Topology Jun 2020
Comments: v2: added Lemma 6.10 about a nice metrization of the Rips complex and further minor changes. 55 + $ε$ pages v3: Numerous corrections and improv…
-
http://arxiv.org/list/math.AT/2012-04 — found via Mwmbl
Algebraic Topology Apr 2012
Comments: This has been withdrawn by the author. The same results as in this paper appear in "The ghost length and duality on the chain and cochain type …
-
http://arxiv.org/list/math.AT/2016-01 — found via Mwmbl
Algebraic Topology Jan 2016
Comments: To appear in the Journal of Pure and Applied Algebra's special issue in honor of Chuck Weibel, edited by Guillermo Cortiñas, Eric Friedlander, …
-
https://arxiv.org/list/math.AT/2003-12 — found via Mwmbl
Algebraic Topology Dec 2003
Comments: This is a paper on geometric topology which generalizes in the stratified context the procedure of Davis for blowing up a smooth manifold along…
-
https://arxiv.org/list/math.AT/1999-07 — found via Mwmbl
Algebraic Topology Jul 1999
Comments: This is a substantially revised and shortened version. The argument has been streamlined by a more natural organization of the "minimal bad" cas…
-
https://arxiv.org/list/math.AT/2009-04 — found via Mwmbl
Algebraic Topology Apr 2009
Comments: 63 pages. Concluding section reduced and most extra remarks of the initial version removed in v5. Core of the paper unchanged. Minor updates in…
-
https://arxiv.org/list/math.AT/2012-11 — found via Mwmbl
Algebraic Topology Nov 2012
Comments: Completely reorganized to focus more attention on the Margolis localizations, giving more conceptual, less computational proofs. Submitted to t…
-
https://arxiv.org/list/math.AT/2005-04 — found via Mwmbl
Algebraic Topology Apr 2005
Comments: This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411329. Both the top…
-
https://arxiv.org/list/math.AT/2011-01 — found via Mwmbl
Algebraic Topology Jan 2011
Comments: 55 pages. With appendix by Rosona Eldred. Submitted to Transactions of the AMS. New version adds section 7 on convergence of the cotriple tower…
-
https://arxiv.org/list/math.AT/2018-05 — found via Mwmbl
Algebraic Topology May 2018
Comments: Final Version. 26 pages. To appear in Advances in Mathematics. In this paper we generalize the construction in arXiv:1612.00930. The subtle poi…