On Additive Almost Continuous Functions Under
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Publication:5291640
DOI10.1515/JAA.2005.153zbMath1094.26002MaRDI QIDQ5291640
Janusz Pawlikowski, Krzysztof Chris Ciesielski
Publication date: 19 May 2006
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Hamel basisadditive functionsalmost continuity in the sense of StallingsCovering Property Axiom CPA.
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Consistency and independence results (03E35)
Cites Work
- Nice Hamel bases under the covering property axiom
- Darboux-like functions within the classes of Baire one, Baire two, and additive functions
- Some Additive Darboux–Like Functions
- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Covering Property Axiom CPAcubeand its consequences
- Uncountable intersections of open sets under CPA$_{\mathrm {prism}}$
- Small Coverings with Smooth Functions under the Covering Property Axiom
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