Means on scattered compacta

Means on scattered compacta

We prove that a separable Hausdor_ topological space X containing a cocountable subset homeomorphic to [0, ω ] admits no separately continuous mean operation and no diagonally continuous n-mean for n ≥ 2.

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Veröffentlicht in:Topological algebra and its applications 2014-01, Vol.2 (1)
Hauptverfasser: Banakh, T., Bonnet, R., Kubis, W.
Format: Artikel
Sprache:eng
Schlagworte:
mean operation
Scattered compact space
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Beschreibung
Zusammenfassung:We prove that a separable Hausdor_ topological space X containing a cocountable subset homeomorphic to [0, ω ] admits no separately continuous mean operation and no diagonally continuous n-mean for n ≥ 2.
ISSN:2299-3231
2299-3231
DOI:10.2478/taa-2014-0002