On some questions about \(KC\) and related spaces

DOI10.1016/J.TOPOL.2009.07.010zbMath1183.54012OpenAlexW2041641592MaRDI QIDQ1032912

Chiara Baldovino, Camillo Costantini

Publication date: 5 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.07.010

zbMATH Keywords

\(k\)-spacecompact space\(T_2\) spacesequentially compact spacedense subsetminimal Hausdorff space\(H\)-closed spaceminimal \(KC\) space\(KC\) compactificationcoarser topologyKatetov \(KC\) spaceminimal \(SC\) spaceresovable spacesemiregular space

Mathematics Subject Classification ID

Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Subspaces in general topology (54B05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) (k)-spaces (54D50)

Cites Work

• Resolvability: A selective survey and some new results
• An anti-Hausdorff Fréchet space in which convergent sequences have unique limits
• Adjacency in subposets of the lattice of \(T_1\)-topologies on a set
• Minimal \(KC\) spaces are compact
• A \(T_B\) space which is not Katetov \(T_B\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On some questions about \(KC\) and related spaces