On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf

DOI10.1016/0022-4049(93)90086-9zbMath0785.55007OpenAlexW2049246416MaRDI QIDQ687570

Ronald Brown, Hans-Joachim Baues

Publication date: 19 October 1993

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

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90086-9

zbMATH Keywords

crossed complexJames constructionfiltered space

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

Spaces of maps into classifying spaces for equivariant crossed complexes ⋮ Modelling and computing homotopy types: I ⋮ On the tensor algebra of a non-Abelian group and applications ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems

Cites Work

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• Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
• Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes
• Van Kampen theorems for diagrams of spaces
• On the algebra of cubes
• Colimit theorems for relative homotopy groups
• Spaces with finitely many non-trivial homotopy groups
• Combinatorial homotopy and 4-dimensional complexes
• On the tensor algebra of a non-Abelian group and applications
• Homotopietheorie
• A certain exact sequence
• The classifying space of a crossed complex
• The non-abelian tensor product of groups and related constructions
• On the 3-Type of a Complex
• The Second Homology Group of a Group; Relations among Commutators

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