groupoid action
Definition 0.1.
Let be a groupoid and a topological space
. A groupoid action, or -action, on is given by two maps: the anchor map and a map with the latter being defined on pairs such that , written as . The two maps are subject to the following conditions:
- •
- •
and
- •
whenever the operations are defined.
Note:The groupoid action generalizes the concept of group action in a non-trivial way.
Title | groupoid action |
Canonical name | GroupoidAction |
Date of creation | 2013-03-22 19:19:23 |
Last modified on | 2013-03-22 19:19:23 |
Owner | bci1 (20947) |
Last modified by | bci1 (20947) |
Numerical id | 9 |
Author | bci1 (20947) |
Entry type | Definition |
Classification | msc 22A22 |
Classification | msc 18B40 |
Synonym | action |
Related topic | GroupAction |
Related topic | Groupoid |
Related topic | GroupoidRepresentation4 |
Defines | anchor map |