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The basic theory of real closed spaces / Niels Schwartz.
Memoirs of the American Mathematical Society. Backfiles 1950-2012 Available online
Memoirs of the American Mathematical Society. Backfiles 1950-2012- Format:
- Book
- Author/Creator:
- Schwartz, Niels, 1950- author.
- Series:
- Memoirs of the American Mathematical Society ; Volume 77, Number 397.
- Memoirs of the American Mathematical Society, 0065-9266 ; Volume 77, Number 397
- Language:
- English
- Subjects (All):
- Schemes (Algebraic geometry).
- Commutative algebra.
- Ordered fields.
- Physical Description:
- 1 online resource (134 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1989.
- Language Note:
- English
- Contents:
- ""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""
- Notes:
- "January 1989, volume 77 number 397 (end of volume)."
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 1-4704-0817-1
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