2002Journal of Symbolic LogicRequires access

Definitions of compactness and the axiom of choice

Omar De la Cruz, Eric Hall, Paul C. Howard, Jean E. Rubin, Adrienne Stanley

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Abstract

Abstract We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.

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Abstract We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.

Key concepts: Compact space, Axiom of choice, Axiom, Mathematics, Axiom independence, Topological space, Urelement, Zermelo–Fraenkel set theory

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