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Obstruction theory in model categories.

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Publication:1421911
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DOI10.1016/S0001-8708(03)00070-7zbMath1043.55007arXivmath/0109170OpenAlexW3100427411MaRDI QIDQ1421911

William G. Dwyer, J. Daniel Christensen, Daniel C. Isaksen

Publication date: 3 February 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109170


zbMATH Keywords

spectrumsimplicial setclosed model categoryobstruction model


Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Abstract and axiomatic homotopy theory in algebraic topology (55U35)


Related Items

Obstruction theory in a model category and Klein and Williams’ intersection invariants ⋮ Localization with respect to a class of maps. I: Equivariant localization of diagrams of spaces ⋮ Endomorphisms of quantized Weyl algebras. ⋮ On good morphisms of exact triangles ⋮ Model structures on commutative monoids in general model categories



Cites Work

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  • Completions of pro-spaces
  • Duality and Pro-Spectra
  • Homotopical algebra
  • Homotopy limits, completions and localizations
  • A model structure on the category of pro-simplicial sets
  • Symmetric spectra
  • Quillen model structures for relative homological algebra
  • A Homotopy Theory of Pro-Spaces
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