Certain classes of weakly infinite-dimensional spaces and topological games

DOI10.1016/J.TOPOL.2007.11.007zbMath1158.54017OpenAlexW1991023156MaRDI QIDQ958505

E. V. Osipov, Vitaly V. Fedorchuk

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.11.007

zbMATH Keywords

topological game\(C\)-spaceweakly infinite-dimensional spacetransfinite dimension dim

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Dimension theory in general topology (54F45) Local compactness, (sigma)-compactness (54D45)

Cites Work

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• Some remarks concerning C-spaces
• Weakly infinite-dimensional spaces
• Classification of weakly infinite-dimensional spaces. Part I: A transfinite extension of the covering dimension
• A Weakly Infinite-Dimensional Compactum which is not Countable-Dimensional
• A class of infinite-dimensional spaces. Part I: Dimension theory and Alexandrof's problem

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