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单词 Universal object
释义

Universal object

原声例句
西南联大英文教本

The young man looks up with awe to him who has written a book, as already half divine; and the graceful speaker is a universal object of envy.

青年敬畏地看着出书的人,已是半神;优雅的演讲者是普遍羡慕的对象。

中文百科

始对象和终对象 Initial and terminal objects

(重定向自Universal object)

在数学领域,范畴C的对象I称为始对象(或初始对象),若对任何对象X,从IX的态射唯一,或者说,C(I,X)为单元素集合。终对象(或终止对象终结对象)是始对象的对偶概念。范畴C的对象T称为终对象,若对任何对象X,从XT的态射唯一。若某对象即是始对象又是终对象,则称其为零对象

英语百科

Initial and terminal objects 始对象和终对象

(重定向自Universal object)
Morphisms of pointed sets. The image also applies to algebraic zero objects

In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism IX.

The dual notion is that of a terminal object (also called terminal element): T is terminal if for every object X in C there exists a single morphism XT. Initial objects are also called coterminal or universal, and terminal objects are also called final.

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更新时间:2025/6/19 6:25:50