Mod \(p\) retracts of \(G\)-product spaces (Q760042)
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: Mod \(p\) retracts of \(G\)-product spaces |
scientific article; zbMATH DE number 3883197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mod \(p\) retracts of \(G\)-product spaces |
scientific article; zbMATH DE number 3883197 |
Statements
Mod \(p\) retracts of \(G\)-product spaces (English)
0 references
1985
0 references
Let \(G\) be a transitive permutation group of degree \(n\), \(n>1\), and \(X\) be a space. By an embedding \(X=X\times *\times\cdots\times *\subset (X)^n\to (X)^n/G\) we regard \(X\) as a subspace of \((X)^n/G\). In this paper we answer the following question: Let \(X\) be a nilpotent space and \(p\) be a prime or 0. When is \(X_{(p)}\) a retract of \((X_{(p)})^n/G ?\) One of the main tools is a geometrical transfer map.
0 references
nilpotent space
0 references
geometrical transfer map
0 references
localized symmetric product space
0 references
mod p retract
0 references
