ENGLISH

Homeomorphisms in analysis

By Casper Goffman , Togo Nishiura , Daniel Waterman

Book information

Publisher
American Mathematical Soc.
Year
1997
ISBN
0821806149, 9780821806142
LCC
QA613.7 .G64 1997
Open Library ID
OL679354M
Language
english
Format
DJVU
Filesize
2 MB (1594812 bytes)
Series
Mathematical Surveys and Monographs 54
Pages
217\217
Library
Kolxo3
Scanned
yes
Time added
2012-02-04 16:00:00

Description

This book features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue measurability, Baire classes of functions, differentiability, $C^n$ and $C^{\infty}$ functions, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function. Features: Contains new results and complete proofs of some known results for the first time. Demonstrates the wide applicability of certain basic notions and techniques in measure theory and set-theoretic topology. Gives unified treatments of large bodies of research found in the literature.

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