Strongly meager sets and their uniformly continuous images

DOI10.1090/S0002-9939-00-05499-XzbMath0955.03050OpenAlexW1537464046MaRDI QIDQ4510072

Andrzej Nowik, Tomasz Weiss

Publication date: 19 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05499-x

zbMATH Keywords

Sierpiński setstrongly meager setstrongly measure zero setperfectly meageralways first category set\(s_0\)-setcompletely Ramsey null

Mathematics Subject Classification ID

Descriptive set theory (03E15) Other classical set theory (including functions, relations, and set algebra) (03E20) Other connections with logic and set theory (28E15)

Related Items (5)

On the Class of Perfectly Null Sets and Its Transitive Version ⋮ Strongly meager sets of real numbers and tree forcing notions ⋮ Strongly meager sets can be quite big ⋮ On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers ⋮ On the Ramseyan properties of some special subsets of 2^ωand their algebraic sums

Cites Work

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• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• Every Sierpiński set is strongly meager
• Remarks about a transitive version of perfectly meager sets
• ADDITIVE PROPERTIES OF SETS OF REAL NUMBERS AND AN INFINITE GAME
• The algebraic sum of sets of real numbers with strong measure zero sets

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