Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities

DOI10.1007/s00153-022-00832-8OpenAlexW4283742470MaRDI QIDQ2700814

Jaroslav Šupina

Publication date: 27 April 2023

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-022-00832-8

zbMATH Keywords

idealselection principlepseudointersection number

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinal characteristics of the continuum (03E17) Ideal and statistical convergence (40A35) General topology (54-XX)

Related Items

Ideal approach to convergence in functional spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on open covers and selection principles using ideals
• Pointwise versus equal (quasi-normal) convergence via ideals
• Cardinal coefficients associated to certain orders on ideals
• The sequence selection properties of \(C_p(X)\)
• Ideal QN-spaces
• Scales, fields, and a problem of Hurewicz
• Countable ultraproducts without CH
• Some properties of C(X). I
• Classification of selectors for sequences of dense sets of \(C_{p}(X)\)
• Products of general Menger spaces
• Selection principle \(\mathrm{S}_{1}\) and combinatorics of open covers
• Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions
• Ideal weak QN-spaces
• Combinatorics of open covers. I: Ramsey theory
• Spaces not distinguishing ideal convergences of real-valued functions
• Spaces not distinguishing ideal convergences of real-valued functions. II
• Katětov order on Borel ideals
• The combinatorics of open covers. II
• Ideal quasi-normal convergence and related notions
• Generic existence of ultrafilters on the natural numbers
• More on cardinal invariants of analytic P-ideals
• The Structure of the Real Line
• Ultrafilters on 𝜔-their ideals and their cardinal characteristics
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES
• WAYS OF DESTRUCTION
• RESTRICTED MAD FAMILIES
• Cardinal Invariants of Analytic P-Ideals
• On some problems of Hausdorff and of Sierpiński