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Methods of Geometric Analysis in Extension and Trace Problems : Volume 1

Author: Alexander Brudnyi; Yuri Brudnyi
Publisher: Basel : Springer Basel AG, 2012.
Series: Monographs in mathematics, 102.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This is the first of a two-volume work¡presenting a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers the development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Brudnyi; Yuri Brudnyi
ISBN: 9783034802093 3034802099 3034802080 9783034802086 1283355590 9781283355599
OCLC Number: 771225792
Description: 1 online resource.
Contents: Preface --
Basic Terms and Notation --
Part 1. Classical Extension-Trace Theorems and Related Results --
Chapter 1. Continuous and Lipschitz Functions --
Chapter 2. Smooth Functions on Subsets of Rn --
Part 2. Topics in Geometry of and Analysis on Metric Spaces --
Chapter 3. Topics in Metric Space Theory --
Chapter 4. Selected Topics in Analysis on Metric Spaces --
Chapter 5. Lipschitz Embedding and Selections --
Bibliography --
Index.
Series Title: Monographs in mathematics, 102.
Responsibility: by Alexander Brudnyi, Yuri Brudnyi.

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Westcott's Plant Disease Handbook identifies various types of diseases known to invade plants throughout North and South America. Causal disease agents are illustrated though specific examples in  Read more...

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"Book under review is enormous in scope and containsmost of the old and current results on extension problems. Many of the theoremsappear here for the first time in book form. The book is Read more...

 
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