Topological realizations of chain complexes. I: The general theory

DOI10.1016/0166-8641(86)90029-5zbMath0589.55009OpenAlexW2152417371MaRDI QIDQ1074180

Justin R. Smith

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90029-5

zbMATH Keywords

fundamental groupchain complexesequivariant Moore spacesSteenrod problemBredon's equivariant homotopy theoryhomological k-invariantrealizing equivariant

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Chain complexes in algebraic topology (55U15)

Related Items

Multiplicativity and nonrealizable equivariant chain complexes ⋮ Comparing homotopy categories ⋮ Permutation complexes and modular representation theory ⋮ Generalized Toda Brackets and Equivariant Moore Spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Homologie des espaces fibrés
• Homological algebra based on permutation modules
• A counterexample to a conjecture of Steenrod
• Obstruction theory on homotopy classification of maps
• Equivariant Moore spaces. II: The low-dimensional case
• Finiteness conditions for CW-complexes. I, II.
• On the chain-complex of a fibration
• On a theorem of E.H. Brown
• On the groups \(H(\Pi,n)\). I
• On the groups \(H(\Pi,n)\). II