An \(E^ 2\) model category structure for pointed simplicial spaces

DOI10.1016/0022-4049(93)90126-EzbMath0814.55008MaRDI QIDQ1313805

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

Publication date: 10 March 1994

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

zbMATH Keywords

spectral sequenceweak equivalencesclosed simplicial model categoryresolution of a topological spacesimplicial objects over the category of pointed topological spaces

Mathematics Subject Classification ID

Related Items (25)

A model for the homotopy theory of homotopy theory ⋮ The fiber of functors between categories of algebras ⋮ The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\) ⋮ A spectral sequence for the homology of a finite algebraic delooping ⋮ An equivariant van Kampen spectral sequence ⋮ Interpolation categories for homology theories ⋮ Truncated resolution model structures ⋮ On realizing diagrams of \(\Pi\)-algebras ⋮ Stems and spectral sequences ⋮ Model \(\infty\)-categories. II: Quillen adjunctions ⋮ Model \(\infty\)-categories. III: The fundamental theorem ⋮ Higher homotopy invariants for spaces and maps ⋮ Recognizing mapping spaces ⋮ Moduli of spaces with prescribed homotopy groups ⋮ Higher homotopy operations and André-Quillen cohomology ⋮ Decompositions of certain loop spaces. ⋮ Comparing homotopy categories ⋮ Higher homotopy operations and cohomology ⋮ Replacing model categories with simplicial ones ⋮ Comparing cohomology obstructions ⋮ Cosimplicial resolutions and homotopy spectral sequences in model categories ⋮ Mapping spaces and \(R\)-completion ⋮ Calculating obstruction groups for 𝐸_{∞} ring spectra ⋮ An extension in the Adams spectral sequence in dimension 54 ⋮ An equivariant smash spectral sequence and an unstable box product

Cites Work

• A van Kampen spectral sequence for higher homotopy groups
• Function complexes in homotopical algebra
• Analysis of center-notched monolayers with application to boron/aluminum composites
• Categories and cohomology theories
• The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)
• Homotopical algebra
• Rational homotopy theory
• Homotopy limits, completions and localizations
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