02448nam 2200577 450 991081163870332120170816143309.01-4704-0817-1(CKB)3360000000464581(EBL)3113873(SSID)ssj0000888790(PQKBManifestationID)11480042(PQKBTitleCode)TC0000888790(PQKBWorkID)10866987(PQKB)10092990(MiAaPQ)EBC3113873(RPAM)547385(PPN)19541280X(EXLCZ)99336000000046458120140905h19891989 uy 0engur|n|---|||||txtccrThe basic theory of real closed spaces /Niels SchwartzProvidence, Rhode Island :American Mathematical Society,1989.©19891 online resource (134 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 77, Number 397"January 1989, volume 77 number 397 (end of volume)."0-8218-2460-0 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 77, Number 397.Schemes (Algebraic geometry)Commutative algebraOrdered fieldsSchemes (Algebraic geometry)Commutative algebra.Ordered fields.512/.33Schwartz Niels1950-62483MiAaPQMiAaPQMiAaPQBOOK9910811638703321The basic theory of real closed spaces3955941UNINA