دانلود کتاب I-density continuous functions

Name: I-density continuous functions
Availability: InStock
Author: Krzysztof Ciesielski
ISBN: 9780821825792, 0821825798

by Krzysztof Ciesielski

عنوان فارسی: توابع پیوسته من با چگالی
ناشر: Amer Mathematical Society
سال: 1994
ویرایش: MemoAMS, AMS
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 142
شابک: 9780821825792, 0821825798
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.66 مگابایت

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جزییات کتاب

The classical approach to showing the parallel between theorems concerning Lebesgue measure and theorems concerning Baire category on the real line is restricted to sets of measure zero and sets of first category. This is because classical Baire category theory does not have an analogue for the Lebesgue density theorem. By using ${mathcal I}$-density, this deficiency is removed, and much of the structure of measurable sets and functions can be shown to exist in the sense of category as well. This monograph explores category analogues to such things as the density topology, approximate continuity, and density continuity. In addition, some questions about topological semigroups of real functions are answered.

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