$k$-rational homotopy  fixed points, $k\in \Bbb N$

Mahmoud Benkhalifa

doi:10.53733/367

$k$-rational homotopy fixed points, $k\in \Bbb N$

Authors

Mahmoud Benkhalifa University of Sharjah

DOI:

https://doi.org/10.53733/367

Keywords:

Group of homotopy self-equivalences , Quillen model, $k$-rational cohomology fixed points, elliptic space

Abstract

For $k\in \Bbb N$, we introduce the notion of $k$-rational homotopy fixed points and we prove, under a certain assumption, that if $X$ is a rational elliptic space of formal dimension $n$, then $X$ admits an $(n -1)$-rational homotopy fixed point.

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Author Biography

Mahmoud Benkhalifa, University of Sharjah

Mahmoud Benkhalifa
Department of Mathematics,
Faculty of Sciences,
University of Sharjah,
Sharjah,
United Arab Emirates
mbenkhalifa@sharjah.ac.ae

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Published

06-05-2024

How to Cite

Benkhalifa, M. (2024). $k$-rational homotopy fixed points, $k\in \Bbb N$. New Zealand Journal of Mathematics, 55, 25–30. https://doi.org/10.53733/367