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单词 Split epimorphism
释义

Split epimorphism

中文百科

形变收缩 Section (category theory)

(重定向自Split epimorphism)

在拓扑学中,收缩retraction),顾名思义是将整个空间收缩到一个子空间;形变收缩deformation retraction)是将空间“连续收缩”成一个子空间的映射。

英语百科

Section (category theory) 形变收缩

(重定向自Split epimorphism)
f is a retraction of g. g is a section of f.

In category theory, a branch of mathematics, a section is a right inverse of some morphism. Dually, a retraction is a left inverse of some morphism. In other words, if f : XY and g : YX are morphisms whose composition f o g : YY is the identity morphism on Y, then g is a section of f, and f is a retraction of g.

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更新时间:2025/6/22 13:50:39