Section (category theory)

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 : X → Y and g : Y → X are morphisms whose composition f o g : Y → Y is the identity morphism on Y, then g is a section of f, and f is a retraction of g.

单词	coretraction
释义	coretraction /kɔri'trækʃən/ 英汉-汉英词典 n. 余保核收缩词组 \| 习惯用语您要查找的是不是： construction n. 建设；结构；建筑物；建造；构造；解释 contraception n. [医]避孕 counteraction n. 反对的行动,抵抗,反动 coretraction n. 余保核收缩英语百科 Section (category theory) 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 : X → Y and g : Y → X are morphisms whose composition f o g : Y → Y is the identity morphism on Y, then g is a section of f, and f is a retraction of g.
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coretraction /kɔri'trækʃən/

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Section (category theory)