Zero-dimensionality of some pseudocompact groups
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Abstract:
We prove that hereditarily disconnected countably compact groups are zero-dimensional. This gives a strongly positive answer to a question of Shakhmatov. We show that hereditary or total disconnectedness yields zero-dimensionality in various classes of pseudocompact groups.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1299-1308
- MSC: Primary 54H11; Secondary 22A05, 54D30, 54F45
- DOI: https://doi.org/10.1090/S0002-9939-1994-1185278-9
- MathSciNet review: 1185278