Rough Structure and Classification
 W. T. Gowers
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Abstract
When I was first asked to speak at the “Visions in Mathematics” conference, I had what I believe was a typical reaction. I wanted to try to emulate Hilbert a century ago, but since I knew that I could not possibly match his breadth of vision, I was forced to make some sort of compromise. In this paper I shall discuss several open problems, not always in areas I know much about, but they are not intended as a list of the most important questions in mathematics, or even the most important questions in the areas of mathematics that I have worked in. Rather, they are a personal selection of problems that, for one reason or another, have captured my attention over the years.
 Title
 Rough Structure and Classification
 Book Title
 Visions in Mathematics
 Book Subtitle
 GAFA 2000 Special Volume, Part I
 Pages
 pp 79117
 Copyright
 2010
 DOI
 10.1007/9783034604222_4
 Print ISBN
 9783034604215
 Online ISBN
 9783034604222
 Series Title
 Modern Birkhäuser Classics
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Birkhäuser Basel
 Additional Links
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 eBook Packages
 Editors

 N. Alon ^{(1)}
 J. Bourgain ^{(2)}
 A. Connes ^{(3)}
 M. Gromov ^{(4)}
 V. Milman ^{(5)}
 Editor Affiliations

 1. School of Mathematical Sciences, University of Tel Aviv
 2. School of Mathematics Institute for Advanced Study, Princeton University
 3. Collège de France
 4. Institut des Hautes Études Scientifiques
 5. Department of Mathematics, University of Tel Aviv
 Authors

 W. T. Gowers ^{(6)}
 Author Affiliations

 6. Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA, UK
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