A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence
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Publication:409605
DOI10.1016/j.topol.2011.11.005zbMath1244.54075OpenAlexW1975946165MaRDI QIDQ409605
Ana Carolina Boero, Artur Hideyuki Tomita, Salvador García-Ferreira
Publication date: 13 April 2012
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.005
Topological groups (topological aspects) (54H11) Counterexamples in general topology (54G20) Applications of set theory (03E75) Consistency and independence results in general topology (54A35)
Related Items (4)
Almost \(p\)-compact groups ⋮ Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences ⋮ Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters ⋮ Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences
Cites Work
- Forcing hereditarily separable compact-like group topologies on Abelian groups
- Countably compact topological group topologies on free Abelian groups from selective ultrafilters
- Abelian groups admitting a Fréchet-Urysohn pseudocompact topological group topology
- A separable normal topological group need not be Lindelöf
- Algebraic structure of small countably compact Abelian groups
- A new kind of compactness for topological spaces
- A solution to Comfort's question on the countable compactness of powers of a topological group
- The structure of compact groups. A primer for the student -- a handbook for the expert
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