请输入您要查询的字词:

 

单词 GroupoidAction
释义

groupoid action


Definition 0.1.

Let 𝒢 be a groupoidPlanetmathPlanetmathPlanetmath and X a topological spaceMathworldPlanetmath. A groupoid action, or 𝒢-action, on X is given by two maps: the anchor map π:XG0 and a map μ:X×G0G1X, with the latter being defined on pairs (x,g) such that π(x)=t(g), written as μ(x,g)=xg. The two maps are subject to the following conditions:

  • π(xg)=s(g),

  • xu(π(x))=x, and

  • (xg)h=x(gh), whenever the operations are defined.

Note:The groupoid action generalizes the concept of group action in a non-trivial way.

Titlegroupoid action
Canonical nameGroupoidAction
Date of creation2013-03-22 19:19:23
Last modified on2013-03-22 19:19:23
Ownerbci1 (20947)
Last modified bybci1 (20947)
Numerical id9
Authorbci1 (20947)
Entry typeDefinition
Classificationmsc 22A22
Classificationmsc 18B40
Synonymaction
Related topicGroupAction
Related topicGroupoid
Related topicGroupoidRepresentation4
Definesanchor map
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 5:41:02