Two remarks on weaker connected topologies
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 327-329
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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].
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].
Delaney, P.; Just, W. Two remarks on weaker connected topologies. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 327-329. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a13/
@article{CMUC_1999_40_2_a13,
author = {Delaney, P. and Just, W.},
title = {Two remarks on weaker connected topologies},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {327--329},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732653},
zbl = {0976.54019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a13/}
}