Revista de Matemática: Teoría y Aplicaciones (Apr 2017)
TYCHONOFF AND CONNECTED PRODUCTS THEOREMS ARE EQUIVALENT
Abstract
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 topological results.
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