Article

Lattice and Algebra Homomorphisms on C(X) in Zermelo-Fraenkel Set Theory

Published in: Quaestiones Mathematicae
Volume 38 , issue 6 , 2015 , pages: 835–839

DOI: 10.2989/16073606.2014.981741

Author(s): Karim Boulabiar Laboratoire de Recherche LATAO, Département de Mathématiques, Faculté des Sciences de Tunis, Tunisia

Keywords: 54C30 , 46E05 , 46E25 , 54C30 , 46E05 , 46E25

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Abstract

Let C (X) denote the lattice-ordered algebra of all real-valued continuous functions on a topological space X. This paper discusses in Zermelo-Fraenkel Set Theory the equivalence on C (X) between algebra homomorphisms, lattice homo- morphisms, and point evaluations.

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