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https://en.wikipedia.org/wiki/Algebraic_topology — found via Wikipedia
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants
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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…