A note on extremally disconnected spaces

Noiri, Takashi

doi:10.1090/S0002-9939-1980-0565364-4

A note on extremally disconnected spaces
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by Takashi Noiri

Proc. Amer. Math. Soc. 79 (1980), 327-330

DOI: https://doi.org/10.1090/S0002-9939-1980-0565364-4

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Abstract:

A topological space X is said to be locally S-closed if each point of X has an open neighborhood which is an S-closed subspace of X. In this note it is shown that every locally S-closed weakly Hausdorff (or almost-regular) space is extremally disconnected.

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