Tychonoff and connected products theorems are equivalent

 

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Autore: Pérez, Juan Antonio
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2017
Descrizione: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.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/22336
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/22336
Keyword:compactness
connectedness
choice axiom
compacidad
conexidad
axioma de elección