On products of fuzzy topological spaces
by
Joaquín Luna-Torres
Department of Mathematics, Universidad Sergio Arboleda, Bogotá, Colombia
Coauthors: Carlos Ochoa-Castillo (Universidad Distrital Francisco José de Caldas, Bogotá, Colombia)

In this paper the notion of product of topological spaces is extended to some families of L-fuzzy topological spaces, in the context of U. Höhle and A. P. Sostak in ``Axiomatic Fundations Of Fixed-Basis Fuzzy Topology" (Mathematics of Fuzzy Sets : Logic, Topology, and Measure Theory, edited by U. Höhle and S. E. Rodabaugh, Chapter 3, Kluwer Academic Publishers, Boston/Dodrecht/London 1999). In particular, we discuss some properties of products of:
(i) An indexed family (X_\lambda, \tau_\lambda) _{\lambda in \Lambda} of L-fuzzy topological spaces, where L is an integral commutative monoid.
(ii) A family (X, \tau_i)_{i=1, 2, ... , n} of L_i-fuzzy topological spaces defined on the same set X, where (L_i)_{i=1, 2, ... , n} is a finite family of integral commutative monoids.
(iii) A finite family (X_i, \tau_i )_{i=1, 2, ... , n} of L_i-fuzzy topological spaces, where each \tau_i is a L_i-fuzzy topology defined on the set X_i, and (L_i)_{i=1, 2, ... , n} is a family of integral commutative monoids.

Date received: January 30, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafw-12.