\(K\)-subadditive and \(K\)-superadditive set-valued functions bounded on ``large sets

DOI10.1007/s00010-021-00850-6zbMath1482.39038OpenAlexW3206924291MaRDI QIDQ2055263

Eliza Jabłońska, Kazimierz Nikodem

Publication date: 6 December 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00850-6

zbMATH Keywords

set-valued map\(K\)-subadditive function\(K\)-superadditive functionHaar-meager setHaar-null setnull-finite set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Properties of \(K\)-additive set-valued maps ⋮ On almost everywhere \(K\)-additive set-valued maps ⋮ On metric stability of set-valued subadditive functions ⋮ Further remarks on local \(K\)-boundedness of \(K\)-subadditive set-valued maps

Cites Work

• On Haar meager sets
• Automatic continuity: subadditivity, convexity, uniformity
• Some analogies between Haar meager sets and Haar null sets in abelian Polish groups
• Additivity, subadditivity and linearity: automatic continuity and quantifier weakening
• On subadditive functions bounded above on a ``large set
• On sets of Haar measure zero in abelian Polish groups
• Null-finite sets in topological groups and their applications
• Generic subadditive functions
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Subadditive Functions and a Relaxation of the Homogeneity Condition of Seminorms
• Prevalence. An addendum to: “Prevalence: a translation-invariant ‘almost every’ on infinite-dimensional spaces” [Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 217–238; MR1161274 (93k:28018)]
• Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses
• Haar null and Haar meager sets: a survey and new results
• Subadditive functions
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