October, 2024 On the group of self-homotopy equivalences of an $F_{0}$-space
Mahmoud BENKHALIFA
Author Affiliations +
J. Math. Soc. Japan 76(4): 1171-1186 (October, 2024). DOI: 10.2969/jmsj/91249124

Abstract

G. Lupton conjectured that the group of self-homotopy equivalences of an $F_{0}$-space inducing the identity on the homotopy groups is finite. Thus, the aim of this paper is to establish this conjecture.

Citation

Download Citation

Mahmoud BENKHALIFA. "On the group of self-homotopy equivalences of an $F_{0}$-space." J. Math. Soc. Japan 76 (4) 1171 - 1186, October, 2024. https://doi.org/10.2969/jmsj/91249124

Information

Received: 21 April 2023; Published: October, 2024
First available in Project Euclid: 13 June 2024

MathSciNet: MR4814036
zbMATH: 07940499
Digital Object Identifier: 10.2969/jmsj/91249124

Subjects:
Primary: 55P10
Secondary: 55P62

Keywords: $F_{0}$-spaces , group of homotopy self-equivalences , Quillen model , Sullivan model

Rights: Copyright ©2024 Mathematical Society of Japan

Vol.76 • No. 4 • October, 2024
Back to Top