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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An extremally disconnected Dowker space


Authors: Alan Dow and Jan van Mill
Journal: Proc. Amer. Math. Soc. 86 (1982), 669-672
MSC: Primary 54C25; Secondary 54G05
DOI: https://doi.org/10.1090/S0002-9939-1982-0674103-X
MathSciNet review: 674103
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Abstract: We give an example of an extremally disconnected Dowker space. Our basic tool is that every $ P$-space can be $ {C^\ast }$-embedded in an extremally disconnected compactum.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0674103-X
Keywords: Dowker space, $ P$-space, $ {C^\ast }$-embedding, $ \beta X$
Article copyright: © Copyright 1982 American Mathematical Society