Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:homotopy_quotient
|
| gptkbp:application |
defining equivariant cohomology
studying group actions on topological spaces |
| gptkbp:category |
gptkb:mathematics
gptkb:topology |
| gptkbp:defines |
Given a topological group G acting on a space X, the Borel construction is the quotient (EG × X)/G, where EG is a contractible free G-space.
|
| gptkbp:field |
gptkb:topology
homotopy theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel construction
|
| gptkbp:namedAfter |
gptkb:Armand_Borel
|
| gptkbp:relatedTo |
gptkb:fiber
classifying space |
| gptkbp:usedFor |
gptkb:equivariant_cohomology
|
| gptkbp:bfsParent |
gptkb:Transformation_Groups
|
| gptkbp:bfsLayer |
6
|