Generalized homology theories and chain complexes

DOI10.1007/BF01765939zbMath0695.55005OpenAlexW2043343112MaRDI QIDQ910047

Friedrich Wilhelm Bauer

Publication date: 1989

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765939

zbMATH Keywords

generalized homology theorycategory of topological spacesexactness axiomexcision axiomshomotopy axiomprehomology theory

Mathematics Subject Classification ID

Axioms for homology theory and uniqueness theorems in algebraic topology (55N40) Chain complexes in algebraic topology (55U15)

Related Items (6)

Bordism theories and chain complexes ⋮ Extensions of chain functors ⋮ The existence of strong homology theories ⋮ The universality of a strong homology theory ⋮ Some remarks on Cartan-Eilenberg categories ⋮ Classifying spectra for generalized homology theories

Cites Work

• Spezielle Homologiestrukturen
• The reduced join of two spectra
• Semisimplicial spectra
• Steenrod-Sitnikov homology for arbitrary spaces
• REMARKS ON UNIVERSAL COEFFICIENT THEOREMS FOR GENERALIZED HOMOLOGY THEORIES
• Chain Theories and Their Derived Homology
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