Note on the \(F_{0}\)-spaces

Mahmoud Benkhalifa

doi:10.56754/0719-0646.2503.447

DOI:

https://doi.org/10.56754/0719-0646.2503.447

Abstract

A rationally elliptic space \(X\) is called an \(F_{0}\)-space if its rational cohomology is concentrated in even degrees. The aim of this paper is to characterize such a space in terms of the homotopy groups of its skeletons as well as the rational cohomology of its Postnikov sections.

Keywords

Rationaly elliptic space , Sullivan model , Quillen model , Whitehead exact sequence , F0-space

Mathematics Subject Classification:

55P62

Mahmoud Benkhalifa Department of Mathematics, Faculty of Sciences, University of Sharjah, Sharjah, United Arab Emirates. https://orcid.org/0000-0002-7923-1877

Pages: 447–454
Date Published: 2023-12-23
Vol. 25 No. 3 (2023)

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