Ultrafilters on \(\omega\) and atoms in the lattice of uniformities. I

DOI10.1016/0166-8641(88)90076-4zbMath0657.54022OpenAlexW4213252396MaRDI QIDQ1110849

Petr Simon, Vojtěch Rödl, Jan Reiterman, Jan Pelant

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90076-4

zbMATH Keywords

atoms in the lattice of (covering-) uniformitiesinteraction between ultrafilters and uniformitiesproximally discrete atomsproximally fineUltrafilter-uniformities

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Continuum hypothesis and Martin's axiom (03E50)

Related Items (6)

Uniform structures in the beginning of the third millenium ⋮ Ultrafilters on \(\omega\) and atoms in the lattice of uniformities. II ⋮ Infima of quasi-uniform anti-atoms ⋮ In memoriam: Petr Simon (1944--2018) ⋮ Unnamed Item ⋮ Atoms, anti-atoms and complements in the lattice of quasi-uniformities

Cites Work

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• Ultrafiltres a la Facon de Ramsey
• A Note on a Lemma of Shelah Concerning Stationary Sets
• Some points in βN
• Selective Graphs and Hypergraphs
• Partition Theorems and Ultrafilters
• Uniform Spaces of Countable Type
• Ultrafilters on a countable set

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