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Absolute $ C\sp{\ast} $-embedding of extremally disconnected spaces


Author: Alan Dow
Journal: Proc. Amer. Math. Soc. 81 (1981), 636-640
MSC: Primary 54C45; Secondary 54G05
DOI: https://doi.org/10.1090/S0002-9939-1981-0601745-9
MathSciNet review: 601745
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Abstract: An extremally disconnected space $ X$ is $ {C^*}$-embedded in each extremally disconnected space in which it is embedded iff $ X$ is weakly Lindelöf or almost compact.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0601745-9
Keywords: Extremally disconnected, $ P$-set, the absolute
Article copyright: © Copyright 1981 American Mathematical Society

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