The Baire category of subsequences and permutations which preserve limit points
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Publication:2210831
DOI10.1007/s00025-020-01289-yzbMath1461.40005arXiv2001.09357OpenAlexW3093088483MaRDI QIDQ2210831
Paolo Leonetti, Marek Balcerzak
Publication date: 8 November 2020
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.09357
permutationsideal convergencemeager setsubsequencesanalytic $P$-idealideal limit pointideal cluster points
Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Density, gaps, topology (11B05) Ideal and statistical convergence (40A35)
Related Items (3)
Another characterization of meager ideals ⋮ Tauberian theorems for ordinary convergence ⋮ Some new insights into ideal convergence and subsequences
Cites Work
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- Mathias-Prikry and Laver-Prikry type forcing
- Ranks of \(\mathcal F\)-limits of filter sequences
- Statistical convergence in topology
- Rearrangement of conditionally convergent series on a small set
- Analytic ideals and their applications
- On almost convergent and statistically convergent subsequences
- Thinnable ideals and invariance of cluster points
- Invariance of ideal limit points
- On the relationship between ideal cluster points and ideal limit points
- Qualitative properties of ideal convergent subsequences and rearrangements
- On statistical limit points and the consistency of statistical convergence
- Limit points of subsequences
- Characterizations of the ideal core
- Duality between measure and category of almost all subsequences of a given sequence
- Characterizations of ideal cluster points
- On relation between the ideal core and ideal cluster points
- On statistical limit points
- REPRESENTATIONS OF IDEALS IN POLISH GROUPS AND IN BANACH SPACES
- Statistical Limit Points
- Ideal limits of sequences of continuous functions
- Preserving P-points in definable forcing
- Filter descriptive classes of Borel functions
- Compacts de fonctions mesurables et filtres non mesurables
- Two More Hereditarily Separable Non-Lindelöf Spaces
- On Countably Compact, Perfectly Normal Spaces
- Statistical limit superior and limit inferior
- Ideal convergent subsequences and rearrangements for divergent sequences of functions
- A Measure Theoretical Subsequence Characterization of Statistical Convergence
- Category theoretical view of I-cluster and I-limit points of subsequences
- Limit points of subsequences
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