The certain exact sequence of Whitehead and the classification of homotopy types of CW-complexes

DOI10.1016/j.topol.2010.05.014zbMath1200.55011arXiv1802.09867OpenAlexW2139644656MaRDI QIDQ989105

Mahmoud Benkhalifa

Publication date: 27 August 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09867

zbMATH Keywords

CW-complexeshomotopy typesWhitehead's certain exact sequence

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Whitehead products and generalizations (55Q15)

Related Items (3)

On the group of self-homotopy equivalences of \((n+1)\)-connected and \((3n+2)\)-dimensional CW-complex ⋮ On the group of self-homotopy equivalence of a formal \(F_0\)-space ⋮ Mathematical models of abstract systems: knowing abstract geometric forms

Cites Work

• Unnamed Item
• Unnamed Item
• On the classification problem of the quasi-isomorphism classes of free chain algebras
• On the classification problem of the quasi-isomorphism classes of 1-connected minimal free cochain algebras
• Minimal models in homotopy theory
• On the homotopy type of \((n-1)\)-connected \((3n+1)\)-dimensional free chain Lie algebra
• An R-local Milnor-Moore theorem
• A certain exact sequence
• WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA
• Hopf Algebras up to Homotopy

This page was built for publication: The certain exact sequence of Whitehead and the classification of homotopy types of CW-complexes