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Title: Two remarks on weaker connected topologies (English)
Author: Delaney, P.
Author: Just, W.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 40
Issue: 2
Year: 1999
Pages: 327-329
Category: math
Summary: 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]. (English)
Keyword: condensation
Keyword: weaker connected topology
Keyword: Luzin space
MSC: 54A35
MSC: 54D05
idZBL: Zbl 0976.54019
idMR: MR1732653
Date available: 2009-01-08T18:52:36Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Gruenhage G.: Partitions of compact Hausdorff spaces.Fund. Math. 142 (1993), 89-100. Zbl 0814.54015, MR 1207473
Reference: [2] Tkačenko M.G., Tkachuk V.V., Uspenskij V.V., Wilson R.G.: In quest of weaker connected topologies.Comment. Math. Univ. Carolinae 37.4 (1996), 825-841. MR 1440714


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