Spaces not distinguishing convergences of real-valued functions.
From MaRDI portal
Publication:5930692
DOI10.1016/S0166-8641(99)00226-6zbMath1067.54028OpenAlexW2084494737MaRDI QIDQ5930692
Ireneusz Recław, Miroslav Repický, Lev Bukovský
Publication date: 2001
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00226-6
\(\overline{\text{QN}}\)-space \(\Sigma\)QN-space\(\Sigma\)-spacemQN-spaceQN-spacew\(\Sigma\)QN-spaceweak distributivity of a family of setswQN-space
Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Real-valued functions in general topology (54C30) Peculiar topological spaces (54G99)
Related Items
The sequence selection properties of \(C_p(X)\) ⋮ Spaces on which every pointwise convergent series of continuous functions converges pseudo-normally ⋮ QN-spaces, wQN-spaces and covering properties ⋮ Modifications of sequence selection principles ⋮ Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations ⋮ On Hurewicz properties. ⋮ Sequence selection principles for quasi-normal convergence ⋮ Pointwise versus equal (quasi-normal) convergence via ideals ⋮ Unbounded towers and products ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ 𝑜-bounded groups and other topological groups with strong combinatorial properties ⋮ Linear $\sigma$-additivity and some applications ⋮ Spaces not distinguishing ideal convergences of real-valued functions ⋮ On Ohta-Sakai's properties of a topological space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topics in topology
- \(\gamma\)-sets and other singular sets of real numbers
- Representation of certain functions under Martin's axiom
- Pixley-Roy spaces over subsets of the reals
- Spaces not distinguishing pointwise and quasinormal convergence of real functions
- \(C_p(X)\) and Arhangel'skiĭ's \(\alpha_i\)-spaces
- Quasi-uniform convergence and \(\mathcal L\)-spaces
- A-sets
- Thin sets of harmonic analysis and infinite combinatorics
- Combinatorics of open covers. I: Ramsey theory
- The combinatorics of open covers. II
- Mapping a set of reals onto the reals
- A characterisation of pseudo-compact spaces
- Pseudo-compactness and $\mu $-convergence
- Additivity of Measure Implies Additivity of Category
- Some additive properties of sets of real numbers
- Partition Problems in Topology
- Internal cohen extensions