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Results tagged with algebraic-topology
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user 231677
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 that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible.
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Simple explanation for what a torsor is
A torsor T is just an algebra equipped with a ternary operation a,b,c ∈ T ↦ abc ∈ T such that abb = a = bba and (abc)de = ab(cde).
The archetypical example of a torsor is a group G whose product a,b …
