Equivalence of the Axiom of Choice with the Problem of the Redefinition of Functions

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Revista Politécnica

On-line version ISSN 2477-8990Print version ISSN 1390-0129

Abstract

MERINO, Andrés and TRUJILLO, Juan C.. Equivalence of the Axiom of Choice with the Problem of the Redefinition of Functions. Rev Politéc. (Quito) [online]. 2020, vol.45, n.2, pp.51-56. ISSN 2477-8990. https://doi.org/10.33333/rp.vol45n2.05.

In this paper we will study the problem of redefining the domain of a given real function in order to obtain an injective function, from the most general case, to the necessary restrictions to make this problem equivalent to the Axiom of Choice.

Keywords : Axiom of Choice; injective functions; redefinition of functions.

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