Schwartz, Niels. <br/><br/>
Basic Theory of Real Closed Spaces. 

 - 1st ed. 
 - 1 online resource (134 pages) 
 - Memoirs of the American Mathematical Society ;  v.77 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470408176 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Schemes (Algebraic geometry).<br/>Commutative algebra.<br/>Ordered fields.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA564 -- .S39 1989eb 
<br/><br/><label>Dewey Class. No.: </label>512/.33