Strong homotopy theory of cyclic sets

DOI10.1016/0022-4049(94)00048-NzbMath0830.55012OpenAlexW2065246791MaRDI QIDQ1892303

Jan Spaliński

Publication date: 6 February 1996

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(94)00048-n

zbMATH Keywords

quotient categoryhomotopy categoriesclosed model categorygeometric realizationadjoint functorscategory of cyclic setscateory of spaces with \(S^ 1\)-actionsingular complex

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Equivariant homotopy theory in algebraic topology (55P91) Compact groups of homeomorphisms (57S10)

Related Items

A discrete model of \(S^{1}\)-homotopy theory ⋮ Ordinal subdivision and special pasting in quasicategories ⋮ Sheafifiable homotopy model categories. II ⋮ Homotopy of planar Lie group equivariant presheaves ⋮ Cyclic Sullivan-De Rham Forms ⋮ A discrete model of \(O(2)\)-homotopy theory

Cites Work

• Cyclic homology and equivariant homology
• Function complexes in homotopical algebra
• The localization of spaces with respect to homology
• The cyclotomic trace and algebraic K-theory of spaces
• Homotopical algebra
• Rational homotopy theory
• The Homotopy Theory of Cyclic Sets
• Simplicial homotopy theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item