On the universal coefficients formula for shape homology

DOI10.1016/j.topol.2013.08.002zbMath1287.55003arXiv1305.0142OpenAlexW2963391834MaRDI QIDQ391369

Andrei V. Prasolov

Publication date: 10 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0142

zbMATH Keywords

balanced homologypro-homologypro-modulesshape homologystrong homologyUniversal coefficients

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Other homology theories in algebraic topology (55N35) Universal coefficient theorems, Bockstein operator (55U20)

Related Items

Cosheaves, The Berkovich realization for rigid analytic motives, Shape theory

Cites Work

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• Nonvanishing derived limits in shape theory
• Etale homotopy
• Homotopy limits, completions and localizations
• Non-additivity of strong homology
• Algebraic $K$-theory and etale cohomology
• Strong Homology and the Proper Forcing Axiom
• Categories and Sheaves
• Extraordinary strong homology
• Notes on the Cauchy-Kowalevski theorem for \({\mathcal E}\)-modules