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Constructible Sets in Real Geometry (Paperback, Softcover reprint of the original 1st ed. 1996)
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Constructible Sets in Real Geometry (Paperback, Softcover reprint of the original 1st ed. 1996)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 33
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The plan to write this book was laid out in April 1987 at
Oberwolfach, dur- ing the Conference "Reelle Algebraische
Geometrie". Afterwards we met at various conferences and seminars
in Luminy, Madrid, Munster, Oberwolfach, Segovia, Soesterberg,
Trento and La Turballe. We would like to thank the or- ganizers and
the institutions which supported these meetings. With pleasure we
remember the special year on Real Algebraic Geometry and Quadratic
Forms (Ragsquad) in Berkeley 1990/91 where an essential part of
this book was written. Thanks to T.Y. Lam and R. Robson. We are
indepted to our Departments: Universidad Complutense de Madrid and
WestfiiJische Wilhelms-Universitiit Munster, as well as the
D.A.A.D. and the D.G.I.C.y'T .. It is not possible to mention here
all colleagues and friends who showed permanent interest in the
project. They encouraged us to continue and com- plete this work.
In particular, we are obliged to Jacek Bochnak, Mike Buchner,
Michel Coste and Claus Scheiderer for proofreading and helpful
suggestions. While the work was still in progress, Manfred Knebusch
used parts of our manuscript for a course on Real Algebraic
Geometry. His experience con- vinced us that it was worth pursuing
a fully abstract approach. We were also in permanent contact with
Murray Marshall, and the reader will recognize the mutual influence
of ideas. We are also indebted to Professor Reinhold Remmert and to
the Springer- Verlag for publishing the book in this series.
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