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- Title
Disconnection in the Alexandroff duplicate.
- Authors
BHATTACHARJEE, PAPIYA; KNOXB, MICHELLE L.; MCGOVERN, WARREN W. M.
- Abstract
It was demonstrated in [2] that the Alexandroff duplicate of the? Cech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space can ever be extremally disconnected. We answer this question in the affirmative; an example of van Douwen is significant. In a slightly different direction we also characterize when the Alexandroff duplicate of a space is a P-space as well as when it is an almost P-space.
- Publication
Applied General Topology, 2021, Vol 22, Issue 2, p331
- ISSN
1576-9402
- Publication type
Article
- DOI
10.4995/agt.2021.14602