What is a first countable space?

DOI10.1016/j.topol.2006.03.003zbMath1137.03029OpenAlexW2041922366MaRDI QIDQ860475

Gonçalo Gutierres

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.003

zbMATH Keywords

metric spacetopological spaceaxiom of choicelocal basefirst countable space

Mathematics Subject Classification ID

Base properties of topological spaces (54D70) Axiom of choice and related propositions (03E25)

Related Items (2)

Different versions of a first countable space without choice ⋮ Cuf products and cuf sums of (quasi-) metrizable spaces in ZF

Cites Work

• The Baire category theorem and choice
• On first and second countable spaces and the axiom of choice
• Foundations of set theory. With the collaboration of Dirk van Dalen. 2nd revised ed
• KATEGORIESÄTZE UND MULTIPLES AUSWAHLAXIOM
• Definitions of compact
• MAXIMAL FILTERS, CONTINUITY AND CHOICE PRINCIPLES
• Definitions of compactness and the axiom of choice
• Axioms of multiple choice
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