The nonexistence of extremally disconnected free topological groups

DOI10.1016/j.topol.2012.12.012zbMath1297.54068OpenAlexW2046200849MaRDI QIDQ388013

Ol'ga V. Sipacheva

Publication date: 18 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.12.012

zbMATH Keywords

Ramsey ultrafilterextremally disconnected topological groupfree Boolean topological groupP-space

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Consistency and independence results in general topology (54A35) Extremally disconnected spaces, (F)-spaces, etc. (54G05) (P)-spaces (54G10)

Related Items

Free Boolean topological groups ⋮ Topological groups with strong disconnectedness properties ⋮ On the cardinality and structure of extremally disconnected groups with linear topology

Cites Work

• Zero-dimensional spaces
• On extremally disconnected topological groups
• ON EXTREMALLY DISCONNECTED TOPOLOGICAL GROUPS
• Some points in βN
• Extremal ultrafilters and topologies on groups
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