TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES

DOI10.1017/jsl.2017.52zbMath1502.03012arXiv1605.04735OpenAlexW2963411267WikidataQ129038446 ScholiaQ129038446MaRDI QIDQ4692079

Jörg Brendle, Barnabás Farkas, Jonathan L. Verner

Publication date: 26 October 2018

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04735

zbMATH Keywords

diamondMathias-Prikry forcingLaver-Prikry forcingKatĕtov ordertoweranalytic idealBorel idealsummable idealcardinal invariants of the continuumnear coherence of filtersdensity zero idealKatĕtov-Blass orderLuzin type family

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

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Some applications of the theory of Katětov order to ideal convergence ⋮ Characterizing existence of certain ultrafilters ⋮ Maximal almost disjoint families, determinacy, and forcing ⋮ WAYS OF DESTRUCTION ⋮ Ideal approach to convergence in functional spaces ⋮ On P-like ideals induced by disjoint families ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities

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