Nonexistence of countable extremally disconnected groups with many open subgroups

DOI10.1016/j.topol.2014.08.028zbMath1301.54051arXiv1405.6356OpenAlexW2027049110MaRDI QIDQ465862

Ol'ga V. Sipacheva

Publication date: 24 October 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6356

zbMATH Keywords

Ramsey ultrafilterextremally disconnected groupmaximal group topologyrapid ultrafilter

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Consistency and independence results in general topology (54A35) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (3)

Free Boolean topological groups ⋮ Discrete Subsets in Topological Groups and Countable Extremally Disconnected Groups ⋮ Discrete subsets and convergent sequences in topological groups

Cites Work

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• There are no Q-Points in Laver's Model for the Borel Conjecture
• ON EXTREMALLY DISCONNECTED TOPOLOGICAL GROUPS
• THE PRODUCT OF TOPOLOGICAL GROUPS AND EXTREMAL DISCONNECTEDNESS
• Ultrafilters and topologies on groups
• Extremal ultrafilters and topologies on groups

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