Two remarks on weaker connected topologies

Phil Delaney; Winfried Just

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 2, page 327-329
  • ISSN: 0010-2628

Abstract

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It is shown that no generalized Luzin space condenses onto the unit interval and that the discrete sum of 1 copies of the Cantor set consistently does not condense onto a connected compact space. This answers two questions from [2].

How to cite

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Delaney, Phil, and Just, Winfried. "Two remarks on weaker connected topologies." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 327-329. <http://eudml.org/doc/248412>.

@article{Delaney1999,
abstract = {It is shown that no generalized Luzin space condenses onto the unit interval and that the discrete sum of $\aleph _1$ copies of the Cantor set consistently does not condense onto a connected compact space. This answers two questions from [2].},
author = {Delaney, Phil, Just, Winfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {condensation; weaker connected topology; Luzin space; condensation; weaker connected topology; Luzin space},
language = {eng},
number = {2},
pages = {327-329},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Two remarks on weaker connected topologies},
url = {http://eudml.org/doc/248412},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Delaney, Phil
AU - Just, Winfried
TI - Two remarks on weaker connected topologies
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 2
SP - 327
EP - 329
AB - It is shown that no generalized Luzin space condenses onto the unit interval and that the discrete sum of $\aleph _1$ copies of the Cantor set consistently does not condense onto a connected compact space. This answers two questions from [2].
LA - eng
KW - condensation; weaker connected topology; Luzin space; condensation; weaker connected topology; Luzin space
UR - http://eudml.org/doc/248412
ER -

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