ENGLISH

Semi-algebraic function rings and reflectors of partially ordered rings

By Niels Schwartz , James J. Madden

Book information

Publisher
Springer
Year
1999
ISBN
3540664602, 9783540664604
ISSN
0075-8434
Open Library ID
OL9063100M
Language
english
Format
DJVU
Filesize
2 MB (1736446 bytes)
Series
Lectures notes in mathematics 1712
Edition
1
Pages
275\275
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.

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