Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics)
1 edition
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Word Count
75,000 words, Guess
Page Count
300 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9063100M
- ISBN-139783540664604
- ISBN-103540664602
- OCLC Control Number243510092
- OCLC Control Number42296793
and 3 more
- Library of Congress Control Number99042232
- LibraryThing8117796
- Goodreads2137597
Classifications
- LCCQA3 .L28 no. 1712
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.
Subjects
Topics
Other Editions
- Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics)
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