Ideal approach to convergence in functional spaces
DOI10.1090/tran/9008arXiv2111.05049OpenAlexW3212970028MaRDI QIDQ6062120
Jaroslav Šupina, Lyubomyr Zdomskyy, Serhii Bardyla
Publication date: 30 November 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05049
continuum hypothesisPytkeev property\(C_p(X)\)-spacesFréchet-Urysohn propertyideals on countable sets\(\delta\)-setscombinatorics of covers
Descriptive set theory (03E15) Pathological topological spaces (54G15) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)
Cites Work
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- Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
- Cardinal coefficients associated to certain orders on ideals
- Ranks of \(\mathcal F\)-limits of filter sequences
- On maximally resolvable spaces
- \(\gamma\)-sets and other singular sets of real numbers
- Ideal QN-spaces
- Scales, fields, and a problem of Hurewicz
- Some properties of C(X). I
- Weakly Fréchet-Urysohn and Pytkeev spaces
- 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
- Combinatorics of open covers. I: Ramsey theory
- Pointwise convergence of partial functions: the Gerlits-Nagy problem
- Spaces not distinguishing ideal convergences of real-valued functions
- Spaces not distinguishing ideal convergences of real-valued functions. II
- The almost disjointness invariant for products of ideals
- Ein Approximationssatz für Bairesche Funktionen
- Katětov order on Borel ideals
- Ideal equal Baire classes
- Products of special sets of real numbers
- The combinatorics of open covers. II
- Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities
- Selective covering properties of product spaces, II: $\gamma $ spaces
- HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS
- Ideal quasi-normal convergence and related notions
- Generic existence of ultrafilters on the natural numbers
- Menger's and Hurewicz's Problems: Solutions from "The Book" and refinements
- Combinatorial Cardinal Characteristics of the Continuum
- More on cardinal invariants of analytic P-ideals
- The Structure of the Real Line
- Pair-splitting, pair-reaping and cardinal invariants ofFσ-ideals
- Filter descriptive classes of Borel functions
- On Certain Boolean Algebras P(ω)/I
- Every Lusin set is undetermined in the point-open game
- Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
- COUNTABLE BOREL EQUIVALENCE RELATIONS
- TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES
- Combinatorics of open covers (VII): Groupability
- When does the Katětov order imply that one ideal extends the other?
- Maximal almost disjoint families, determinacy, and forcing
- Linear $\sigma$-additivity and some applications
- Spaces in which sequences suffice
- On the Pytkeev property in spaces of continuous functions
- On Sequential Convergence
- The Pytkeev property and the Reznichenko property in function spaces
- Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
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