Zero-dimensionality of some pseudocompact groups-Reference-Cited by-同舟云学术

Zero-dimensionality of some pseudocompact groups

Published:1994 Issue:4 Volume:120 Page:1299-1308
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dikranjan Dikran

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-120-04/S0002-9939-1994-1185278-9/S0002-9939-1994-1185278-9.pdf

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