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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Topology of Real Algebraic Sets

Topology of Real Algebraic Sets

Akbulut, Selman
King, Henry

Paperback

Series: Mathematical Sciences Research Institute Publications, Book 25

General MathematicsGeometry

ISBN10: 1461397413
ISBN13: 9781461397410
Publisher: Springer Nature
Published: Dec 14 2011
Pages: 249
Weight: 0.82
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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.

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