Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
representation theory
homotopy theory equivariant topology |
| gptkbp:defines |
A G-space is a topological space X together with a continuous action of a topological group G on X.
|
| gptkbp:example |
sphere with rotation group action
vector space with linear group action |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:topology
group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
G-spaces
|
| gptkbp:property |
orbit space can be formed by quotienting by the group action
fixed points are points invariant under the group action |
| gptkbp:relatedTo |
gptkb:topology
group action |
| gptkbp:seeAlso |
gptkb:G-set
gptkb:principal_G-bundle homogeneous space |
| gptkbp:bfsParent |
gptkb:Transformation_Groups
|
| gptkbp:bfsLayer |
6
|