Ultrafilters on 𝜔-their ideals and their cardinal characteristics

DOI10.1090/S0002-9947-99-02257-6zbMath0927.03073arXivmath/9710217OpenAlexW1512576849MaRDI QIDQ4243620

Jörg Brendle, Saharon Shelah

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9710217

zbMATH Keywords

consistencycharacterBaire spaceidealRamsey ultrafilterultrafilterMathias forcingcardinal characteristicsRamsey null sets\(\pi\)-characterEaston forcingLaver forcingfree ultrafiltercardinal coefficients\(p\)-pointcardinal coefficientnowhere Ramsey sets

Mathematics Subject Classification ID

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

Related Items (21)

The Glicksberg theorem for Tychonoff extension properties ⋮ Combinatorics and forcing with distributive ideals ⋮ Filter-Laver measurability ⋮ An Efimov space with character less than \(\mathfrak{s}\) ⋮ Mathias-Prikry and Laver-Prikry type forcing ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Two inequalities between cardinal invariants ⋮ Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\) ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities ⋮ The character spectrum of \(\beta \mathbb N\) ⋮ 2007 Annual Meeting of the Association for Symbolic Logic ⋮ Cardinal coefficients associated to certain orders on ideals ⋮ Remarks on generalized ultrafilter, dominating and reaping numbers ⋮ Tie-points and fixed-points in \(\mathbb N^*\) ⋮ Ideal weak QN-spaces ⋮ A parallel to the null ideal for inaccessible \(\lambda\). I ⋮ Construction with opposition: cardinal invariants and games ⋮ Pseudo P-points and splitting number ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ The almost disjointness invariant for products of ideals

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