Local structure of homogeneous \(ANR\)-spaces

DOI10.1090/tran/9296MaRDI QIDQ6664347

Vesko Valov

Publication date: 16 January 2025

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacescohomology groupscohomological dimensionabsolute neighborhood retracts

Mathematics Subject Classification ID

Dimension theory in algebraic topology (55M10) Absolute neighborhood retracts (55M15)

Cites Work

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• On manifolds with nonhomogeneous factors
• Note on an absolute neighborhood extensor for metric spaces
• Homotopical cohomology and Čech cohomology
• Locally homogeneous ANR-spaces
• Homogeneous \(ANR\)-spaces and Alexandroff manifolds
• Some remarks concerning topologically homogeneous spaces
• Homological dimension and homogeneous ANR spaces
• Transformation groups and \(C^ *\)-algebras
• Locally homogeneous spaces
• Local cohomological properties of homogeneous ANR compacta
• The Bing-Borsuk and the Busemann Conjectures
• Homological dimension theory
• The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
• Cohomological Dimension and Metrizable Spaces
• HOMOLOGICAL DIMENSION THEORY
• Separation of homogeneous connected locally compact spaces

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