The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)

DOI10.1016/0022-4049(94)00102-OzbMath0860.55014MaRDI QIDQ1903680

Christopher R. Stover, William G. Dwyer, Daniel M. Kan

Publication date: 21 April 1997

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

zbMATH Keywords

homotopy theoryhomotopy spectral sequencebigraded homotopy groupspointed simplicial spaces

Mathematics Subject Classification ID

Homotopy groups (55Q99)

Related Items (15)

Homotopy and homology of fibred spaces ⋮ Interpolation categories for homology theories ⋮ Truncated resolution model structures ⋮ On realizing diagrams of \(\Pi\)-algebras ⋮ Stems and spectral sequences ⋮ Higher homotopy invariants for spaces and maps ⋮ Moduli of spaces with prescribed homotopy groups ⋮ Higher homotopy operations and André-Quillen cohomology ⋮ Decompositions of certain loop spaces. ⋮ Comparing homotopy categories ⋮ Segal-type algebraic models of \(n\)-types ⋮ Comparing cohomology obstructions ⋮ Spectral sequences in \((\infty,1)\)-categories ⋮ Homotopy theory of simplicial abelian Hopf algebras ⋮ An \(E^ 2\) model category structure for pointed simplicial spaces

Cites Work

• The geometric realization of a semi-simplicial complex
• A van Kampen spectral sequence for higher homotopy groups
• Analysis of center-notched monolayers with application to boron/aluminum composites
• An \(E^ 2\) model category structure for pointed simplicial spaces
• Categories and cohomology theories
• Spectral sequences of a double semi-simplicial group
• Homotopical algebra
• Etale homotopy
• Homology and Cohomology of Π-Algebras
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