Atoms, anti-atoms and complements in the lattice of quasi-uniformities

DOI10.1016/j.topol.2004.10.021zbMath1119.54018OpenAlexW2109403099MaRDI QIDQ2508934

Hans-Peter A. Künzi, Eliza P. de Jager

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2004.10.021

zbMATH Keywords

latticeatomquasi-uniformityresolvableanti-atom

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)

Related Items (9)

Uniform structures in the beginning of the third millenium ⋮ Maximal pairwise complementary families of quasi-uniformities. II. ⋮ Infima and complements in the lattice of quasi-uniformities ⋮ On Quasi-uniformities, Function Spaces and Atoms: Remarks and Some Questions ⋮ Infima of quasi-uniform anti-atoms ⋮ Maximal pairwise complementary families of quasi-uniformities ⋮ More about complements of quasi-uniformities ⋮ Permutable pairs of quasi-uniformities ⋮ \(k\)-primal spaces

Cites Work

• Ultrafilters on \(\omega\) and atoms in the lattice of uniformities. I
• Ultrafilters on \(\omega\) and atoms in the lattice of uniformities. II
• Functorial admissible quasi-uniformities on topological spaces
• C-complete quasi-uniform spaces
• The number of complements in the lattice of topologies on a fixed set
• On H-equivalence of uniformities (the Isbell-Smith problem)
• A problem of set-theoretic topology
• Topological Spaces with a Unique Compatible Quasi-Uniformity
• Semilattices of totally bounded quasi-uniformities
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