Porosity and typical properties of real-valued continuous functions

DOI10.1007/BF02942311zbMath0708.26002MaRDI QIDQ920210

Pier Mario Gandini, Andreana Zucco

Publication date: 1989

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

real-valued continuous functions\(\sigma \) -porous setfunction of monotonic typelocally monotonic function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Real-valued functions in general topology (54C30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Classification of real functions; Baire classification of sets and functions (26A21) Topology of special sets defined by functions (54C50)

Related Items (2)

An extension of a theorem of Banach ⋮ Porous sets that are Haar null, and nowhere approximately differentiable functions

Cites Work

• Differentiation of real functions
• How Many Sets are Porous?
• Sets of $\sigma$-porosity and sets of $\sigma $-porosity $(q)$
• Sur les fonctions non dérivables
• Über die Baire'sche Kategorie gewisser Funktionenmengen
• Unnamed Item
• Unnamed Item

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