请输入您要查询的英文单词:

 

单词 Weak homotopy equivalence
释义

Weak homotopy equivalence

英语百科

Weak equivalence (homotopy theory)

(重定向自Weak homotopy equivalence)

In mathematics, a weak equivalence is a notion from homotopy theory which in some sense identifies objects that have the same basic "shape". This notion is formalized in the axiomatic definition of a closed model category.

A closed model category by definition contains a class of morphisms called weak equivalences, and these morphisms become isomorphisms upon passing to the associated homotopy category. In particular, if the weak equivalences of two model categories containing the same objects and morphisms are defined in the same way, the resulting homotopy categories will be the same, regardless of the definitions of fibrations and cofibrations in the respective categories.

随便看

 

英汉双解词典包含3607232条英汉词条,基本涵盖了全部常用单词的翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2022 Newdu.com All Rights Reserved
京ICP备09058993号 更新时间:2025/8/7 23:43:43