Weak equivalence (homotopy theory)

id: weak-equivalence-homotopy-theory-304-14178387
title: Weak equivalence (homotopy theory)
text: In mathematics, a weak equivalence is a notion from homotopy theory that in some sense identifies objects that have the same "shape". This notion is formalized in the axiomatic definition of a model category. A model category is a category with classes of morphisms called weak equivalences, fibrations, and cofibrations, satisfying several axioms. The associated homotopy category of a model category has the same objects, but the morphisms are changed in order to make the weak equivalences into is
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Weak_equivalence_(homotopy_theory)
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date modified: 2020-04-10T08:22:23Z
main entity: {"identifier":"Q20878207","url":"https://www.wikidata.org/entity/Q20878207"}
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