Homogeneous \(ANR\)-spaces and Alexandroff manifolds

DOI10.1016/j.topol.2014.06.001zbMath1311.55002arXiv1403.4347OpenAlexW2963929618MaRDI QIDQ2250137

Vesko M. Valov

Publication date: 4 July 2014

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

Full work available at URL: https://arxiv.org/abs/1403.4347

zbMATH Keywords

cohomology groupscohomological dimensionabsolute neighborhood retractshomogeneous compacta

Mathematics Subject Classification ID

Dimension theory in algebraic topology (55M10)

Related Items

Bases in the product of homogeneous metric \(ANR\) continua ⋮ Separation of homogeneous connected locally compact spaces ⋮ Local homological properties and cyclicity of homogeneous ANR-compacta

Cites Work

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• Extension dimension and refinable maps
• Die Kontinua (\(V^ p\)) eine Verschärfung der Cantorschen Mannigfaltigkeiten
• Homotopical cohomology and Čech cohomology
• Some remarks concerning topologically homogeneous spaces
• Simply connected homogeneous continua are not separated by arcs
• Transformation groups and \(C^ *\)-algebras
• Generalized Cantor manifolds and homogeneity
• Homogeneity and Cantor Manifolds
• On $\check{H}^n$-bubbles in n-dimensional compacta
• Generalized Cantor manifolds and indecomposable continua
• Alexandroff Manifolds and Homogeneous Continua
• On certain homological properties of finite-dimensional compacta. Carriers, minimal carriers and bubbles