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

DOI10.1016/0166-8641(88)90011-9zbMath0657.54023OpenAlexW2030583737MaRDI QIDQ1110850

Petr Simon, Jan Reiterman, Jan Pelant, Vojtěch Rödl

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)90011-9

zbMATH Keywords

CHdistal modificationinteraction between ultrafilters and uniformitieslattice of uniformitieslattice of zero-dimensional uniformitiesnon-zero- dimensional atomsproximally discrete atomsRudin- Keisler orderultrafilter-uniformities

Mathematics Subject Classification ID

Hypergraphs (05C65) Generalized Ramsey theory (05C55) Uniform structures and generalizations (54E15) Continuum hypothesis and Martin's axiom (03E50)

Related Items (3)

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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• Ultrafilters on \(\omega\) and atoms in the lattice of uniformities. I
• A simple proof of the Galvin-Ramsey property of the class of all finite graphs and a dimension of a graph
• Weakly Ramsey P Points
• A formal analogy between proximity and finite dimensionality
• Some points in βN
• Selective Graphs and Hypergraphs
• Partition Theorems and Ultrafilters
• Uniform Spaces of Countable Type

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