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arXiv · 2104.11998

On the cardinality of Extremally Disconnected Groups with Linear Topology

Ol'ga Sipacheva
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Abstract

A group topology is said to be linear if open subgroups form a base of neighborhoods of the identity element. It is proved that the existence of a nondiscrete extremally disconnected group of Ulam nonmeasurable cardinality with linear topology implies that of a nondiscrete extremally disconnected group of cardinality at most $2^\omega$ with linear topology.

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Ol'ga Sipacheva. 2021-04-24. On the cardinality of Extremally Disconnected Groups with Linear Topology. https://arxiv.org/abs/2104.11998

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