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Basic Theory of Real Closed Spaces.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1989Copyright date: ©1989Edition: 1st edDescription: 1 online resource (134 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408176
Subject(s): Genre/Form: Additional physical formats: Print version:: Basic Theory of Real Closed SpacesDDC classification:
  • 512/.33
LOC classification:
  • QA564 -- .S39 1989eb
Online resources:
Contents:
Intro -- CONTENTS -- INTRODUCTION -- CHAPTER I: REAL CLOSED RINGS -- 1. Preliminaries on real spectra -- 2. Definition of real closures -- 3. Algebraic properties of real closures -- 4. Real closed rings -- CHAPTER II: REAL CLOSED SPACES -- 1. Definition of real closed spaces -- 2. Subspaces -- 3. Fibre products -- 4. Quasi-compact, quasi-separated and separated morphisms -- 5. Regular morphisms -- 6. Universally closed morphisms -- 7. Finiteness conditions -- CHAPTER III: SEMI-ALGEBRAIC SPACES -- 1. Semi-algebraic spaces as real closed spaces -- 2. Fibre products -- 3. Separatedness and regularity -- 4. Universal closedness -- REFERENCES.
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Intro -- CONTENTS -- INTRODUCTION -- CHAPTER I: REAL CLOSED RINGS -- 1. Preliminaries on real spectra -- 2. Definition of real closures -- 3. Algebraic properties of real closures -- 4. Real closed rings -- CHAPTER II: REAL CLOSED SPACES -- 1. Definition of real closed spaces -- 2. Subspaces -- 3. Fibre products -- 4. Quasi-compact, quasi-separated and separated morphisms -- 5. Regular morphisms -- 6. Universally closed morphisms -- 7. Finiteness conditions -- CHAPTER III: SEMI-ALGEBRAIC SPACES -- 1. Semi-algebraic spaces as real closed spaces -- 2. Fibre products -- 3. Separatedness and regularity -- 4. Universal closedness -- REFERENCES.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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