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2004•Communications of the Korean Mathematical SocietyRequires access

A STUDY ON EQUIVALENT FORMS OF THE AXIOM OF CHOICE IN AN WELL-POINTED TOPOS

Ig-Sung Kim

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Abstract

There are various forms of the axiom of choice and also various weak forms of the axiom of choice in a topos. This paper give equivalent forms of the axiom of choice in a well-pointed topos.

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What this paper is about

There are various forms of the axiom of choice and also various weak forms of the axiom of choice in a topos. This paper give equivalent forms of the axiom of choice in a well-pointed topos.

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Available abstract

There are various forms of the axiom of choice and also various weak forms of the axiom of choice in a topos. This paper give equivalent forms of the axiom of choice in a well-pointed topos.

Key concepts: Axiom of choice, Constructive set theory, Zermelo–Fraenkel set theory, Axiom independence, Urelement, Topos theory, Mathematics, Axiom

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