Self-transversal spaces and their discrete subspaces

DOI10.1216/rmjm/1181069681zbMath1142.54017OpenAlexW1980198016MaRDI QIDQ812495

István Juhász, Mikhail G. Tkachenko, Richard G. Wilson, Vladimir V. Tkachuk

Publication date: 24 January 2006

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069681

zbMATH Keywords

scattered spacediscrete subspaceSelf-transversal space

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Scattered spaces (54G12) Embedding (54C25) Consistency and independence results in general topology (54A35)

Related Items (3)

Transversal, \(T_{1}\)-independent, and \(T_{1}\)-complementary topologies ⋮ Transversal group topologies on non-Abelian groups ⋮ Transversal and \(T_1\)-independent topologies and the Alexandroff duplicate

Cites Work

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• The number of complements in the lattice of topologies on a fixed set
• Topological Completions of Metrizable Spaces
• No submaximal topology on a countable set is $\mathbf {T}_{\mathbf {1}}$-complementary
• A compact Hausdorff topology that is a T₁-complement of itself
• A completely regular space which is the $T_1$-complement of itself
• Complementation in the Lattice of T 1 -Topologies
• Topologies with $T_1$-complements
• A T 1 -Complement for the Reals

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