Nonnormality of Čech–Stone-remainders of topological groups

Authors
Publication date 01-07-2017
Journal Topology and its Applications
Volume | Issue number 225
Pages (from-to) 27-33
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract It is known that every remainder of a topological group is Lindelöf or pseudocompact. Motivated by this result, we study in this paper the question when a topological group G has a normal remainder. Under mild conditions on G we show that under the Continuum Hypothesis, if the Čech–Stone remainder ⁎ of G is normal, then it is Lindelöf.
Document type Article
Language English
Published at https://doi.org/10.1016/j.topol.2017.04.008
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