A discrete model of \(S^{1}\)-homotopy theory

DOI10.1016/j.jpaa.2006.08.011zbMath1117.55006arXivmath/0411183OpenAlexW2021182855MaRDI QIDQ878658

Andrew J. Blumberg

Publication date: 26 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0411183

zbMATH Keywords

equivariant homotopy theorysimplicial setsmodel categories\(S^1\)-spaces

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91)

Related Items (2)

Homotopy of planar Lie group equivariant presheaves ⋮ A discrete model of \(O(2)\)-homotopy theory

Cites Work

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• Algebraic models for equivariant homotopy theory over Abelian compact Lie groups
• Cyclic homology and algebraic K-theory of spaces. II
• The cyclotomic trace and algebraic K-theory of spaces
• Strong homotopy theory of cyclic sets
• Equivariant orthogonal spectra and 𝑆-modules
• Systems of Fixed Point Sets
• The Homotopy Theory of Cyclic Sets
• A Simple Formula for Cyclic Duality
• The S1-CW decomposition of the geometric realization of a cyclic set

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