M. Benkhalifa

activity

20092020

most citedRational self-homotopy equivalences and Whitehead exact sequence

14 citations · 28 across the 3 of their papers we have counts for

collaborators

5 papers

math.AT2020

On the quasi-isomorphism type of a perfect chain algebra

Mahmoud Benkhalifa

Let $R$ be a (P.I.D) and let $T (V), \partial)$ be a free $R$ -dga. The quasi-isomorphism type of $(T (V), \partial)$ is the set, denoted ${(T (V), \partial)}$ , of all free dgas which a…

math.AT2019

On The Group Of Self-homotopy Equivalences Of An Elliptic Space

Mahmoud Benkhalifa

Let $X$ be a simply connected rational elliptic space of formal dimension $n$ and let $\E(X)$ denote the group of homotopy classes of self-equivalences of $X$ . If $X^{[k]}$ denotes…

math.AT2019

Adams-Hilton model and the group of self-homotopy equivalences of a simply connected cw-complex

Mahmoud Benkhalifa

Let $R$ be a principal ideal domain (PID). For a simply connected CW-complex $X$ of dimension $n$ , let $Y$ be a space obtained by attaching cells of dimension $q$ to $X$ , $q > n$ , an…

math.AT2010★ 14 cited

Realizability of the group of rational self-homotopy equivalences

Mahmoud Benkhalifa

For a 1-connected CW-complex $X$ , let $E (X)$ denote the group of homotopy classes of self-homotopy equivalences of $X$ . The aim of this paper is to prove that, for every…

math.AT2009★ 14 cited

Rational self-homotopy equivalences and Whitehead exact sequence

Mahmoud Benkhalifa

For a simply connected CW-complex $X$ , let $E (X)$ denote the group of homotopy classes of self-homotopy equivalence of $X$ and let $E_{♯} (X)$ be its subgro…