Research Article

On the group of self-homotopy equivalences of an almost formal space

Published in: Quaestiones Mathematicae
Volume 46 , issue 5 , 2023 , pages: 855–862

DOI: 10.2989/16073606.2022.2044405

Author(s): Mahmoud Benkhalifa University of Sharjah, UAE

Keywords: 55P10 , Pure rationally elliptic spaces , group of homotopy self-equivalences , Sullivan model , Quillen model

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Abstract

A simply connected CW-complex X of finite type is called almost formal if and if the rational Hurewicz homomorphism is injective for every n ≥ 1. In this paper, we show that the group of self-homotopy equivalences of an almost formal space inducing the identity on the homology is finite.

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