There is no compactification theorem for the small inductive dimension

DOI10.1016/0166-8641(82)90015-3zbMath0468.54028OpenAlexW2039997460MaRDI QIDQ1156387

Jan van Mill, Teodor C. Przymusinski

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90015-3

zbMATH Keywords

small inductive dimensionLindelöf extensionperfectly normal first countable space

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Dimension theory in general topology (54F45)

Cites Work

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• Failure of equivalence of dimension concepts for metric spaces
• First countable and countable spaces all compactifications of which contain βN
• A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrarily large dimension

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