Baire ∗ 1, Darboux Functions
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Publication:4106409
DOI10.2307/2041139zbMath0339.26010OpenAlexW4252913132MaRDI QIDQ4106409
Publication date: 1977
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2041139
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Monotonic functions, generalizations (26A48) Classification of real functions; Baire classification of sets and functions (26A21)
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Path Derivatives: A Unified View of Certain Generalized Derivatives ⋮ High order smoothness ⋮ Representations of Functions by Derivatives ⋮ Covering functions by countably many functions from some families ⋮ Linear extensions of some Baire-one functions ⋮ On Local Aspects of Entropy ⋮ Approximate smoothness and Baire\(^*\) 1 ⋮ Finitely continuous Darboux functions ⋮ Uniform limits of \(\mathcal{B}_1^{\ast\ast}\)-functions ⋮ Symmetric monotonicity ⋮ Unnamed Item ⋮ First return path systems: Differentiability, continuity, and orderings ⋮ Some unpublished Recław theorems and their applications to Baire-star-one functions ⋮ On scatteredly continuous maps between topological spaces ⋮ On the averages of Darboux functions ⋮ The continuity of symmetric and smooth functions ⋮ Approximate high order smoothness
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