Characterizing spaces by disconnection properties

• Autores: Edward D. Tymchatyn, Chang-Cheng Yang
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 723-744
• Idioma: inglés
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• Resumen

  • We consider a number of very strong separation properties for connected spaces. A space X is finitely separated provided each separator between two points of X contains a finite separator between those two points. If (X, T) is a connected, Hausdorff, finitely separated space then there is a weaker topology W for X such that (X,W) embeds in a finitely separated continuum. We give several characterizations of finitely separated continua and show that under mild conditions finitely separated spaces are ANRs.