Twisted products and \(G\)-shapes (Q2706805)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Twisted products and \(G\)-shapes |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twisted products and \(G\)-shapes |
scientific article |
Statements
27 March 2001
0 references
equivariant shape
0 references
twisted product
0 references
Twisted products and \(G\)-shapes (English)
0 references
The note treats the equivariant shape of a twisted product. The following result is proved: Let \(H\subset G\) be a closed subgroup of a Lie group \(G\) and \(X\) and \(Y\) compact \(H\)-spaces. If \(\text{Sh}_HX= \text{Sh}_HY\), then \(\text{Sh}_G(G\times_H X)= \text{Sh}_G(G\times_H Y)\), where \(G\times_H X\) is the twisted product.
0 references
