14 citations · 28 across the 12 of their papers we have counts for
13 papers
Self-Homotopy Equivalence Group of an Elliptic Space and Its Embedding in general Linear Groups
Mahmoud Benkhalifa
For a rational elliptic space, this paper examines the relationship between its homotopy groups and its self-homotopy equivalence group. Moreover, we investigate how this group is…
On the group of self-homotopy equivalences of a 2-connected and 6-dimensional CW-complex
Mahmoud Benkhalifa
Let be a \text{\rm{2}}-connected and \text{\rm{6}}-dimensional CW-complex such that . This paper aims to describe the group $\E(X)$ of the self-homot…
On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex
Mahmoud Benkhalifa
For a simply connected rationally elliptic CW-complex , we show that the cohomology and the homotopy Euler-Poincaré characteristics are related to two new numerical invariants n…
Every group is the group of self homotopy equivalences of finite dimensional CW-complex
Mahmoud Benkhalifa
We prove that any group occurs as $\E(X)$, where is CW-complex of finite dimension and $\E(X)$ denotes its group of self-homotopy equivalence. Thus, we generalize a well kn…
On the quasi-isomorphism type of a perfect chain algebra
Mahmoud Benkhalifa
Let be a (P.I.D) and let be a free -dga. The quasi-isomorphism type of is the set, denoted , of all free dgas which a…
On The Group Of Self-homotopy Equivalences Of An Elliptic Space
Mahmoud Benkhalifa
Let be a simply connected rational elliptic space of formal dimension and let $\E(X)$ denote the group of homotopy classes of self-equivalences of . If denotes…