LEADER 03008nam 2200589 450 001 9910480748803321 005 20180731044136.0 010 $a1-4704-0722-1 035 $a(CKB)3360000000464493 035 $a(EBL)3113922 035 $a(SSID)ssj0000888922 035 $a(PQKBManifestationID)11455675 035 $a(PQKBTitleCode)TC0000888922 035 $a(PQKBWorkID)10876173 035 $a(PQKB)11039557 035 $a(MiAaPQ)EBC3113922 035 $a(PPN)195411900 035 $a(EXLCZ)993360000000464493 100 $a20140905h19841984 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn extension of the Galois theory of Grothendieck /$fAndre? Joyal, Myles Tierney 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1984. 210 4$dİ1984 215 $a1 online resource (87 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 309 300 $a"September 1984, Volume 51, Number 309 (third of 4 numbers)." 311 $a0-8218-2312-4 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""Introduction""; ""Chapter I a??? Supa???lattices""; ""1. Definitions and duality""; ""2. Limits and colimits""; ""3. Free supa???lattices""; ""4. Sub and quotient lattices""; ""5. Tensor products""; ""Chapter II a??? Rings, modules and descent""; ""1. Rings and modules""; ""2. Tensor product of modules""; ""3. Change of rings""; ""4. Flatness, projectivity, and purity""; ""5. Descent theory for modules""; ""Chapter III a??? Locales""; ""1. Locales and commutative monoids""; ""2. Limits and colimits""; ""3. The free locale""; ""4. Local operators and quotients"" 327 $a""5. The splitting locale""""Chapter IV a??? Spaces""; ""1. Subspaces""; ""2. Points and discrete spaces""; ""3. The Sierpinski space""; ""4. Pullbacks and projective limits""; ""5. The splitting space""; ""Chapter V a??? Open maps of spaces""; ""1. Open maps - definition""; ""2. Open subspaces""; ""3. Conditions for openness""; ""4. Open surjections, pullbacks""; ""5. A characterization of discrete spaces""; ""Chapter VI a??? Change of base""; ""1. Change of base for supa???lattices and locales""; ""2. Determination of sl(Sa???[sup(Aop)] ) and loc(Sa???[sup(Aop)] )"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 309. 606 $aToposes 606 $aGalois theory 606 $aTheory of descent (Mathematics) 608 $aElectronic books. 615 0$aToposes. 615 0$aGalois theory. 615 0$aTheory of descent (Mathematics) 676 $a512/.32 700 $aJoyal$b Andre?$0350839 702 $aTierney$b Myles$f1937- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480748803321 996 $aAn extension of the Galois theory of Grothendieck$92260072 997 $aUNINA