On first and second countable spaces and the axiom of choice

DOI10.1016/j.topol.2004.02.010zbMath1065.54015OpenAlexW2075457809WikidataQ114013001 ScholiaQ114013001MaRDI QIDQ1880711

Gonçalo Gutierres

Publication date: 1 October 2004

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

Full work available at URL: http://hdl.handle.net/10316/4635

zbMATH Keywords

CCsecond countable spacefirst countable space\(\omega\)-MCSSC

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Consistency and independence results in general topology (54A35) Base properties of topological spaces (54D70) Axiom of choice and related propositions (03E25)

Related Items (2)

What is a first countable space? ⋮ Unnamed Item

Cites Work

• Countable choice and pseudometric spaces
• Disasters in topology without the axiom of choice
• Continuing horrors of topology without choice
• Foundations of set theory. With the collaboration of Dirk van Dalen. 2nd revised ed
• Disjoint Unions of Topological Spaces and Choice
• MAXIMAL FILTERS, CONTINUITY AND CHOICE PRINCIPLES
• Definitions of compactness and the axiom of choice
• On Lindelöf Metric Spaces and Weak Forms of the Axiom of Choice
• The axiom of choice
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