Application of selection principles in the study of the properties of function spaces
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Publication:1747966
DOI10.1007/s10474-018-0800-4zbMath1413.37031arXiv1701.00508OpenAlexW2964337864MaRDI QIDQ1747966
Publication date: 27 April 2018
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00508
Function spaces in general topology (54C35) Foundations: limits and generalizations, elementary topology of the line (26A03) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
- \(\gamma\)-sets and other singular sets of real numbers
- Some properties of C(X). I
- Spaces not distinguishing pointwise and quasinormal convergence of real functions
- The combinatorics of Borel covers
- A nonhereditary Borel-cover \(\gamma\)-set
- Some properties of C(X). II
- Sequential density
- Combinatorics of open covers. I: Ramsey theory
- Pointwise convergence of partial functions: the Gerlits-Nagy problem
- Projective versions of selection principles
- On sequential separability of functional spaces
- On sequential separability
- The Baire order problem for compact spaces
- The combinatorics of open covers. II
- The Density Character of Function Spaces
- Linear $\sigma$-additivity and some applications
- Internal cohen extensions
- Selection principles and covering properties in Topology