Maximal lineability of the class of Darboux not connectivity maps on \(\mathbb{R}\)

DOI10.1007/s13398-021-01103-6zbMath1477.26002OpenAlexW3186019427MaRDI QIDQ2050198

Krzysztof Chris Ciesielski

Publication date: 30 August 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01103-6

zbMATH Keywords

connectivity functionsDarboux-like functionslineability

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Consistency and independence results in general topology (54A35) Vector spaces, linear dependence, rank, lineability (15A03) Lineability in functional analysis (46B87)

Related Items (4)

\( \mathfrak{c} \)-lineability: a general method and its application to Darboux-like maps ⋮ Maximal lineability of several subclasses of Darboux-like maps on \(\mathbb{R}\) ⋮ Unnamed Item ⋮ Maximal lineability of the classes of functions in the algebra of Darboux-like maps that are Darboux but not connectivity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\)
• Lineability of the functions that are Sierpiński-Zygmund, Darboux, but not connectivity
• Lineability and modes of convergence
• Lineability within probability theory settings
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• Lineability in sequence and function spaces

This page was built for publication: Maximal lineability of the class of Darboux not connectivity maps on \(\mathbb{R}\)