Total boundedness and the axiom of choice

DOI10.1007/S10485-016-9443-1zbMath1432.03092OpenAlexW2510294297WikidataQ114017697 ScholiaQ114017697MaRDI QIDQ328638

Gonçalo Gutierres

Publication date: 20 October 2016

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/44396

zbMATH Keywords

countable choiceLindelöf spacetotally bounded metric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Axiom of choice and related propositions (03E25)

Related Items (1)

Some Notions of Separability of Metric Spaces in $\mathbf {ZF}$ and Their Relation to Compactness

Cites Work

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• On sequentially compact subspaces of \(\mathbb R\) without the axiom of choice
• Countable choice and pseudometric spaces
• Compactness and the axiom of choice
• Continuing horrors of topology without choice
• Foundations of set theory. With the collaboration of Dirk van Dalen. 2nd revised ed
• The failure of the axiom of choice implies unrest in the theory of Lindelöf metric spaces
• Sequential topological conditions in ℝ in the absence of the axiom of choice
• Axiom of choice

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