Hausdorff gaps and towers in P(ω)/ Fin

DOI10.4064/fm229-3-1zbMath1351.03042arXiv1302.4550OpenAlexW2345407830MaRDI QIDQ5177548

Piotr Borodulin-Nadzieja, David Chodounský

Publication date: 12 March 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4550

zbMATH Keywords

oscillationstowersSuslin treesHausdorff gapsTukey orderspecial gaps

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (4)

Trees and gaps from a construction scheme ⋮ Two chain conditions and their Todorčević's fragments of Martin's axiom ⋮ TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES ⋮ Definable towers

Cites Work

• Tukey types of ultrafilters
• Combinatorial dichotomies and cardinal invariants
• Oscillations of sets of integers
• Countable Fréchet \(\alpha_ 1\)-spaces may be first countable
• Applications of cohomology to set theory. I: Hausdorff gaps
• Hausdorff gaps and limits
• G κ Subspaces of Hyadic Spaces
• Directed Sets and Cofinal Types
• Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
• Partition Problems in Topology
• Distinguishing types of gaps in (ω)/fin
• A coherent family of partial functions on ℕ
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