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Selected Topics on Analysis in Metric Spaces

Selected Topics on Analysis in Metric Spaces

Paperback

Series: Publications of the Scuola Normale Superiore

CalculusGeneral Mathematics

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ISBN10: 887642265X
ISBN13: 9788876422652
Publisher: Edizioni Della Normale
Published: Oct 1 2000
Pages: 133
Weight: 0.70
Height: 0.50 Width: 6.70 Depth: 9.40
Language: English
These notes originated from a course given by the first author in 1998/99 in the Scuola Normale Superiore of Pisa. The aim of the course was the presentation of the main mathematical prerequisites needed for the so-called Analysis in Metric Spaces. The exposition, though not fully self contained, covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, Sobolev spaces; all these topics are developed in a general metric setting. We also discuss in detail the geodesic problem and the Gromov-Hausdorff convergence. The last chapter contains a brief, but very general, description of the theory of integration with respect to nondecreasing set functions.

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General Mathematics