Homogeneity and Cantor Manifolds

DOI10.2307/2048147zbMath0714.54035OpenAlexW4255291230MaRDI QIDQ3200235

Paweł Krupski

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048147

zbMATH Keywords

homogeneityCantor manifoldshomogeneous spaceopen mappingcountable dimension\(F_{\sigma }\)-set\(G_{\delta }\)-setfinite-dimensional mappingstrongly infinite-dimensional spaceweakly infinite- dimensional space

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45)

Related Items (7)

Flag-no-square triangulations and Gromov boundaries in dimension 3. ⋮ Separation of homogeneous connected locally compact spaces ⋮ Mazurkiewicz manifolds and homogeneity ⋮ Simply connected homogeneous continua are not separated by arcs ⋮ Homogeneous \(ANR\)-spaces and Alexandroff manifolds ⋮ Classifying homogeneous continua ⋮ The Hyperspaces of Subcontinua of the Pseudo-Arc and of Solenoids of Pseudo-Arcs are Cantor Manifolds

Cites Work

• Transformation groups and \(C^ *\)-algebras
• Around Effros' Theorem
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