F-points in countably compact spaces

Angelo Bella, V.I. Malykhin

Abstract

Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.

Keywords

F-point; Extremal disconnectedness; Compact; Countably compact; Pseudocompact; Countable tightness

Subject classification

54A25; 54A10

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Cited-By (articles included in Crossref)

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1. Which topologies can have immediate successors in the lattice of T1-topologies?
Ofelia T. Alas, Richard G. Wilson
Applied General Topology  vol: 5  issue: 2  first page: 231  year: 2004  
doi: 10.4995/agt.2004.1972



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt