Lineability in the sets of Baire and continuous real functions

DOI10.1016/J.TOPOL.2017.12.018zbMath1384.26017OpenAlexW2772935399MaRDI QIDQ683973

T. K. Subrahmonian Moothathu

Publication date: 9 February 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.12.018

zbMATH Keywords

fixed pointseverywhere surjective functionlineabilityBaire-two functionscontinuous real-valued functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Vector spaces, linear dependence, rank, lineability (15A03) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (1)

Structural aspects of the non-uniformly continuous functions and the unbounded functions within \(C\)(\(X\))

Cites Work

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• On lineability of sets of continuous functions
• Nonseparable spaceability and strong algebrability of sets of continuous singular functions
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• Lineability in sequence and function spaces
• Sierpiński-Zygmund functions and other problems on lineability
• Lineability and spaceability of sets of functions on $\mathbb {R}$

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