Simplicial chains over a field and \(p\)-local homotopy theory

DOI10.1007/BF02572629zbMath0849.55011OpenAlexW2023148381MaRDI QIDQ1909562

Paul G. Goerss

Publication date: 5 November 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174824

zbMATH Keywords

chainsalgebraic modelsimplicial sethomotopy theorycoalgebra structureBousfield localization

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (13)

Integral models for spaces via the higher Frobenius ⋮ Higher stabilization and higher Freudenthal suspension ⋮ On a Quillen adjunction between the categories of differential graded and simplicial coalgebras ⋮ The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time ⋮ Localization and nilpotent spaces in -homotopy theory ⋮ The Bousfield-Kuhn functor and topological André-Quillen cohomology ⋮ Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres ⋮ Simplicial presheaves of coalgebras ⋮ Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory ⋮ Purity and homotopy theory of coalgebras ⋮ Models for torsion homotopy types ⋮ Homotopy theory of simplicial abelian Hopf algebras ⋮ The Dold-Kan correspondence and coalgebra structures

Cites Work

• The localization of spaces with respect to homology
• \(p\)-adic homotopy theory
• Homotopical algebra
• Rational homotopy theory
• Lectures on \(p\)-divisible groups
• HOMOTOPY THEORY OF COALGEBRAS
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