Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-20T01:11:47.915Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE GROUP AutΩ(X)

Published online by Cambridge University Press:  14 October 2002

Petar Paves˘ić
Petar Paves˘ić
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia (petar.pavesic@uni-lj.si)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Felix and Murillo introduced the group $\mathrm{Aut}_\varOmega(X)$ of self-maps $f$ of $X$, which satisfy $\sOm f=1_{\varOmega X}$, and proved that the group is nilpotent with the order of nilpotency bounded by the Lusternik–Schnirelmann category of $X$. In this paper we construct a spectral sequence converging to the group $\mathrm{Aut}_\varOmega(X)$ and derive several interesting consequences.

AMS 2000 Mathematics subject classification: Primary 55P42

Keywords

self-homotopy equivalencesloop spacesspectral sequences
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 673 - 680
Copyright
Copyright © Edinburgh Mathematical Society 2002