Continuous-, derivative-, and differentiable-restrictions of measurable functions
Fundamenta Mathematicae, Tome 141 (1992) no. 1, pp. 85-95
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
@article{10_4064_fm_141_1_85_95,
author = {Jack Brown},
title = {Continuous-, derivative-, and differentiable-restrictions of measurable functions},
journal = {Fundamenta Mathematicae},
pages = {85--95},
publisher = {mathdoc},
volume = {141},
number = {1},
year = {1992},
doi = {10.4064/fm-141-1-85-95},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-141-1-85-95/}
}
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Jack Brown. Continuous-, derivative-, and differentiable-restrictions of measurable functions. Fundamenta Mathematicae, Tome 141 (1992) no. 1, pp. 85-95. doi: 10.4064/fm-141-1-85-95
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