Selman Akbulut

(Author)

Topology of Real Algebraic Sets (Softcover Reprint of the Original 1st 1992)Paperback - Softcover Reprint of the Original 1st 1992, 14 December 2011

Topology of Real Algebraic Sets (Softcover Reprint of the Original 1st 1992)
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Part of Series
Mathematical Sciences Research Institute Publications
Print Length
249 pages
Language
English
Publisher
Springer
Date Published
14 Dec 2011
ISBN-10
1461397413
ISBN-13
9781461397410

Description

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets. This has been a long happy collaboration (c.f., [K2)). In 1985 while visiting M.S.R.1. we organized and presented our classification results up to that point in the M.S.R.1. preprint series [AK14] -[AK17]. Since these results are interdependent and require some prerequisites as well as familiarity with real algebraic geometry, we decided to make them self contained by presenting them as a part of a book in real algebraic geometry. Even though we have not arrived to our final goal yet we feel that it is time to introduce them in a self contained coherent version and demonstrate their use by giving some applications. Chapter I gives the overview of the classification program. Chapter II has all the necessary background for the rest of the book, which therefore can be used as a course in real algebraic geometry. It starts with the elementary properties of real algebraic sets and ends with the recent solution of the Nash Conjecture. Chapter III and Chapter IV develop the theory of resolution towers. Resolution towers are basic topologically defined objects generalizing the notion of manifold.

Product Details

Authors:
Selman AkbulutHenry King
Book Edition:
Softcover Reprint of the Original 1st 1992
Book Format:
Paperback
Country of Origin:
NL
Date Published:
14 December 2011
Dimensions:
23.39 x 15.6 x 1.4 cm
ISBN-10:
1461397413
ISBN-13:
9781461397410
Language:
English
Location:
New York, NY
Pages:
249
Publisher:
Weight:
371.95 gm

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