Definitions of compactness and the axiom of choice
Omar De la Cruz, Eric Hall, Paul C. Howard, Jean E. Rubin, Adrienne Stanley
Abstract
Omar De la Cruz, Eric Hall, Paul C. Howard, Jean E. Rubin, Adrienne Stanley
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.
Key concepts: Compact space, Axiom of choice, Axiom, Mathematics, Axiom independence, Topological space, Urelement, Zermelo–Fraenkel set theory