An approximation theorem for equivariant loop spaces in the compact Lie case
type: Item
instance of: scholarly article
title: An approximation theorem for equivariant loop spaces in the compact Lie case
zbMATH Open document ID: 0575.55010
author: J. Caruso
author: S. Waner
published in: Pacific Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Let V be a real orthogonal countable-dimensional representation for the Lie group G and let \(\Omega^ V\Sigma^ VX\) be the space of maps \(S^ V\to \Sigma^ VX\) where X is a G-space with stationary base-point. The authors give an approximation for the fix-set \((\Omega^ V\Sigma^ VX)^ G\), the space of G-equivariant maps, in the stable case.
Mathematics Subject Classification ID: 55Q91
Mathematics Subject Classification ID: 55Q10
Mathematics Subject Classification ID: 57S10
zbMATH DE Number: 3919352
zbMATH Keywords: unit sphere of a representation
zbMATH Keywords: stable equivariant homotopy groups
MaRDI profile type: Publication
full work available at URL: pjm.1985.117.27
OpenAlex ID: W2032854796
DOI: 10.2140/PJM.1985.117.27
description: scientific article; zbMATH DE number 3919352