On the cofinality of the splitting number

DOI10.1016/j.indag.2017.01.010zbMath1436.03260arXiv1801.02517OpenAlexW2963567646MaRDI QIDQ1688965

Alan Dow, Saharon Shelah

Publication date: 12 January 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02517

zbMATH Keywords

splitting numbercardinal invariants of the continuummatrix forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17)

Related Items (12)

Preservation of splitting families and cardinal characteristics of the continuum ⋮ An Efimov space with character less than \(\mathfrak{s}\) ⋮ A simple \(P_{\aleph_1}\)-point and a simple \(P_{\aleph_2}\)-point ⋮ Base matrices of various heights ⋮ On cardinal characteristics of Yorioka ideals ⋮ On the bounding, splitting, and distributivity numbers ⋮ COHERENT SYSTEMS OF FINITE SUPPORT ITERATIONS ⋮ Colouring of successor of regular, again ⋮ Pseudo P-points and splitting number ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ MORE ZFC INEQUALITIES BETWEEN CARDINAL INVARIANTS ⋮ The generalized Bolzano-Weierstrass property revisited

Cites Work

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• The character spectrum of \(\beta \mathbb N\)
• Ultrafilters with small generating sets
• Mad families, splitting families and large continuum
• The almost-disjointness number may have countable cofinality

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