14 citations · 28 across the 4 of their papers we have counts for
7 papers · 1 filter
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 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…
Adams-Hilton model and the group of self-homotopy equivalences of a simply connected cw-complex
Mahmoud Benkhalifa
Let be a principal ideal domain (PID). For a simply connected CW-complex of dimension , let be a space obtained by attaching cells of dimension to , , an…
The Whitehead exact sequence and the classification problem of homotopy types
Mahmoud Benkhalifa
This paper defines an invariant associated to Whitehead's certain exact sequence of a simply connected CW-complex which is much more elementary - and less powerful - than the bound…
Realizability of the group of rational self-homotopy equivalences
Mahmoud Benkhalifa
For a 1-connected CW-complex , let denote the group of homotopy classes of self-homotopy equivalences of . The aim of this paper is to prove that, for every…