Continuous-, derivative-, and differentiable-restrictions of measurable functions
نویسندگان
چکیده
منابع مشابه
Generalized Rings of Measurable and Continuous Functions
This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
متن کاملgeneralized rings of measurable and continuous functions
this paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
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Let C be the space of all real-valued continuous functions defined on the unit interval provided with the uniform norm. In the Scottish Book, Banach raised the question of the descriptive class of the subset D of C consisting of all functions which are differentiable at each point of [0,1]. Banach pointed out that D forms a coanalytic subset of C and asked whether D is a Borel set. Later Mazurk...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1992
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-141-1-85-95