On the set where an approximate derivative is a derivative
H. H. Pu, H. W. Pu (1980)
Colloquium Mathematicae
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Displaying similar documents to “An approximative generalization of Zahorski's theorem on derivative”
On the set where an approximate derivative is a derivative
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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................
Maximal additive and maximal multiplicative family for the family of -Darboux Baire one functions
Ladislav Mišík (1981)
Mathematica Slovaca
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On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous
Zbigniew Grande (2009)
Colloquium Mathematicae
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Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.
On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives
Bożena Świątek (2004)
Colloquium Mathematicae
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We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.