TYCHONOFF AND CONNECTED PRODUCTS THEOREMS ARE EQUIVALENT

In Topology, Tychonoff’s theorem asserts that the compactness of a product of topological spaces and compactness of each of its factors are equivalent facts. Analogously, the connected products theorem does the same about connectedness. This note is devoted to prove the equivalence between thes two...

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Bibliographic Details
Main Author: Juan Antonio Pérez
Format: Article
Language:English
Published: Universidad de Costa Rica 2017-04-01
Series:Revista de Matemática: Teoría y Aplicaciones
Subjects:
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/22336