Singular homology groups and homotopy groups of finite topological spaces

1966/09/01 by Michael C. McCord · 6 citations
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Bott periodicity theorem #Cohomology #Combinatorics #De Rham cohomology #Eilenberg–MacLane space #Equivariant cohomology #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Mathematics #Mayer–Vietoris sequence #Pure mathematics #Singular homology #Topological and Geometric Data Analysis #Topology (electrical circuits)

paper · doi:10.1215/s0012-7094-66-03352-7

crossref issued 1966/09/01 · crossref published 1966/09/01 · crossref published-print 1966/09/01 · openalex publication_date 1966/09/01 · crossref created 2004/11/16 · openalex created_date 2016/06/24 · crossref deposited 2024/01/30 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/14

Cited by

• Generalised Miller–Morita–Mumford classes for block bundles and topological bundles
• One-point reductions of finite spaces,h–regular CW–complexes and collapsibility
• Computational approximations of compact metric spaces
• Derived category of Finite Spaces and Grothendieck Duality
• Whitehead's theorem for minimal finite models
• Alexandrov topology [wikipedia]