On the classification problem of the quasi-isomorphism classes of free chain algebras

DOI10.1016/j.jpaa.2006.09.012zbMath1122.55007OpenAlexW1980187022MaRDI QIDQ886221

Mahmoud Benkhalifa

Publication date: 26 June 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.09.012

zbMATH Keywords

dgaWhitehead exact sequencequasi-isomorphism

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Topological categories, foundations of homotopy theory (55U40) Whitehead products and generalizations (55Q15)

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Cites Work

• Unnamed Item
• On the chain algebra of a loop space
• Minimal models in homotopy theory
• On the homotopy type of a chain algebra
• The homotopy classification of \((n-1)\)-connected \((n+3)\)-dimensional polyhedra, \(n\geq{} 4\)
• A certain exact sequence
• Homology