LEADER 02453nam 2200577 450 001 9910480686503321 005 20170816143309.0 010 $a1-4704-0817-1 035 $a(CKB)3360000000464581 035 $a(EBL)3113873 035 $a(SSID)ssj0000888790 035 $a(PQKBManifestationID)11480042 035 $a(PQKBTitleCode)TC0000888790 035 $a(PQKBWorkID)10866987 035 $a(PQKB)10092990 035 $a(MiAaPQ)EBC3113873 035 $a(PPN)19541280X 035 $a(EXLCZ)993360000000464581 100 $a20140905h19891989 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe basic theory of real closed spaces /$fNiels Schwartz 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1989. 210 4$dİ1989 215 $a1 online resource (134 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 77, Number 397 300 $a"January 1989, volume 77 number 397 (end of volume)." 311 $a0-8218-2460-0 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""3. Separatedness and regularity""""4. Universal closedness""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 77, Number 397. 606 $aSchemes (Algebraic geometry) 606 $aCommutative algebra 606 $aOrdered fields 608 $aElectronic books. 615 0$aSchemes (Algebraic geometry) 615 0$aCommutative algebra. 615 0$aOrdered fields. 676 $a512/.33 700 $aSchwartz$b Niels$f1950-$062483 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480686503321 996 $aThe basic theory of real closed spaces$92008416 997 $aUNINA