On Ohta-Sakai's properties of a topological space
DOI10.1016/j.topol.2015.05.002zbMath1355.54023OpenAlexW287297968MaRDI QIDQ2347053
Publication date: 26 May 2015
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.002
convergencewQN-spacesemicontinuous functioncovering properties\(\mathrm{LSC}_s\)\(\mathrm{USC}_s\)discrete limit of continuous functions
Function spaces in general topology (54C35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Applications of set theory (03E75) Topology of special sets defined by functions (54C50)
Cites Work
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- Modifications of sequence selection principles
- Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
- The Ramsey property for \(C_p(X)\)
- Sequence selection principles for quasi-normal convergence
- Decomposing Borel functions and structure at finite levels of the Baire hierarchy
- \(\gamma\)-sets and other singular sets of real numbers
- Extensions of discrete and equal Baire functions
- The sequence selection properties of \(C_p(X)\)
- QN-spaces, wQN-spaces and covering properties
- On wQN\(_*\) and wQN\(^*\) spaces
- Sequences of semicontinuous functions accompanying continuous functions
- First level Borel functions and isomorphisms
- Spaces not distinguishing pointwise and quasinormal convergence of real functions
- On the consistency of Borel's conjecture
- \(C_p(X)\) and Arhangel'skiĭ's \(\alpha_i\)-spaces
- On Hurewicz properties.
- The combinatorics of open covers. II
- On the length of Borel hierarchies
- Combinatorial Cardinal Characteristics of the Continuum
- The Structure of the Real Line
- Notes on Modifications of A wQN-Space
- Selection principles and upper semicontinuous functions
- Universal Functions and Generalized Classes of Functions
- Two Classes of Frechet-Urysohn Spaces
- Decomposing Baire functions
- Some remarks on discrete Baire classes
- A sequential property of $\mathsf {C}_p(X)$ and a covering property of Hurewicz
- Decomposing Borel sets and functions and the structure of Baire class 1 functions
- Point-cofinite covers in the Laver model
- Linear $\sigma$-additivity and some applications
- On the Structure of Finite Level and ω-Decomposable Borel Functions
- On Real-Valued Functions in Topological Spaces
- Spaces not distinguishing convergences of real-valued functions.
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