Transversal and \(T_1\)-independent topologies and the Alexandroff duplicate

DOI10.1016/j.topol.2011.07.023zbMath1234.54007OpenAlexW1975699476MaRDI QIDQ649797

Mikhail G. Tkachenko, Aleksander Błaszczyk

Publication date: 6 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.07.023

zbMATH Keywords

compactcountably compactextremally disconnectedAlexandroff duplicaterational numbers(self-) \(T\)-complementary(self-) \(T\)-independent(self-) transversal

Mathematics Subject Classification ID

Compactness (54D30) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (4)

Alexandroff duplicate and βκ ⋮ The weight and Lindelöf property in spaces and topological groups ⋮ Transversal, \(T_{1}\)-independent, and \(T_{1}\)-complementary topologies ⋮ Unnamed Item

Cites Work

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• Self-transversal spaces and their discrete subspaces
• The lattice of topologies: a survey
• Independent group topologies on abelian groups
• A compact space having the cardinality of the continuum with no convergent sequences
• A compact Hausdorff topology that is a T₁-complement of itself
• A completely regular space which is the $T_1$-complement of itself
• The Lattice of Topologies: Structure and Complementation
• The Lattice of all Topologies is Complemented
• Topologies with $T_1$-complements
• On the combination of topologies

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