Keywords

#homotopy_category

Homotopy category

Concept in math

In mathematics, the homotopy category is a category built from the category of topological spaces which in a sense identifies two spaces that have the same shape. The phrase is in fact used for two different categories, as discussed below.

Mon 19th

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Homotopy category Homotopy Homotopy category of chain complexes Derived category Homotopy theory Model category Homotopy type theory Simplicial set Spectrum (topology) Higher category theory
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