Continuous-, derivative-, and differentiable-restrictions of measurable functions
Volume 141 / 1992
Fundamenta Mathematicae 141 (1992), 85-95
DOI: 10.4064/fm-141-1-85-95
Abstract
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.
