Author : Niels Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 0821824600
Total Pages : 134 pages
Book Rating : 4.8/5 (218 download)
Book Synopsis The Basic Theory of Real Closed Spaces by : Niels Schwartz
Download or read book The Basic Theory of Real Closed Spaces written by Niels Schwartz and published by American Mathematical Soc.. This book was released on 1989 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much in the same way as classical algebraic varieties are generalized by the theory of schemes, locally semi-algebraic spaces are generalized by a class of locally ringed spaces, called real closed spaces. The underlying spaces of affine real closed spaces are real spectra of rings, the structure sheaves are called real closed sheaves. With these spaces a theory can be developed which is very similar to the theory of schemes. There is a natural functor from the category of semi-algebraic spaces to the category of real closed spaces. Via this functor properties of semi-algebraic spaces and their corresponding real closed spaces can be compared.