Some novel types of fractal geometry / Stephen Semmes

Auteur principal : Semmes, Stephen, 1962-, AuteurType de document : MonographieCollection : Oxford mathematical monographsLangue : anglais.Pays: Etats Unis.Éditeur : New York : Oxford University Press, 2001Description : 1 vol. (X-164 p.) ; 24 cmISBN: 0198508069.ISSN: 0964-9174.Bibliographie : Bibliogr. p. [154]-162. Index.Sujet MSC : 28A80, Classical measure theory, Fractals
28-02, Research exposition (monographs, survey articles) pertaining to measure and integration
28A78, Classical measure theory, Hausdorff and packing measures
54E35, General topology - Topological spaces with richer structures, Metric spaces, metrizability
54E40, General topology - Topological spaces with richer structures, Special maps on metric spaces
En-ligne : Zentralblatt | MathSciNet
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Much of the material of the book is connected with the recent developments of analysis on metric spaces, by Hajłasz, Heinonen, Koskela, and others. One of the basic facts is the Poincaré inequality. (Zentralblatt). The book is written in a very informal style. There are almost no theorems and proofs, just questions and elaborated comments. One of the features of most of the mathematical books and papers is that the reader is forced to spend hours on checking painful details in order to follow the text. However, a consequence of the informal style of Semmes is that there is no such need here. On the contrary one can enjoy reading the whole book in a couple of evenings without any danger of being exhausted!
The purpose of the book is to suggest possible directions of research in the fascinating area of analysis on metric spaces. Everybody doing research in this area should read the book. (MathSciNet)

Bibliogr. p. [154]-162. Index

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