LEADER 04198nam 22008173u 450 001 9910480228703321 005 20210108150454.0 010 $a1-4704-0504-0 035 $a(CKB)3360000000465082 035 $a(EBL)3114246 035 $a(SSID)ssj0000973545 035 $a(PQKBManifestationID)11553187 035 $a(PQKBTitleCode)TC0000973545 035 $a(PQKBWorkID)10960473 035 $a(PQKB)11393979 035 $a(MiAaPQ)EBC3114246 035 $a(PPN)195417879 035 $a(EXLCZ)993360000000465082 100 $a20170301d2008|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGalois Extensions of Structured Ring Spectra/Stably Dualizable Groups$b[electronic resource] 210 $aProvidence $cAmerican Mathematical Society$d2008 215 $a1 online resource (154 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vv.192 300 $aDescription based upon print version of record. 311 $a0-8218-4076-2 327 $a""Contents""; ""Galois Extensions of Structured Ring Spectra""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Galois extensions in algebra""; ""A?2.1. Galois extensions of fields""; ""A?2.2. Regular covering spaces""; ""A?2.3. Galois extensions of commutative rings""; ""Chapter 3. Closed categories of structured module spectra""; ""A?3.1. Structured spectra""; ""A?3.2. Localized categories""; ""A?3.3. Dualizable spectra""; ""A?3.4. Stably dualizable groups""; ""A?3.5. The dualizing spectrum""; ""A?3.6. The norm map""; ""Chapter 4. Galois extensions in topology"" 327 $a""A?4.1. Galois extensions of E-local commutative S-algebras""""A?4.2. The Eilenberg-Mac Lane embedding""; ""A?4.3. Faithful extensions""; ""Chapter 5. Examples of Galois extensions""; ""A?5.1. Trivial extensions""; ""A?5.2. Eilenberg-Mac Lane spectra""; ""A?5.3. Real and complex topological K-theory""; ""A?5.4. The Morava change-of-rings theorem ""; ""A?5.5. The K(1)-local case ""; ""A?5.6. Cochain S-algebras ""; ""Chapter 6. Dualizability and alternate characterizations""; ""A?6.1. Extended equivalences""; ""A?6.2. Dualizability""; ""A?6.3. Alternate characterizations"" 327 $a""Chapter 10. Mapping spaces of commutative S-algebras""""A?10.1. Obstruction theory""; ""A?10.2. Idempotents and connected S-algebras""; ""A?10.3. Separable closure""; ""Chapter 11. Galois theory II""; ""A?11.1. Recovering the Galois group""; ""A?11.2. The brave new Galois correspondence""; ""Chapter 12. Hopfa???Galois extensions in topology""; ""A?12.1. Hopfa???Galois extensions of commutative S-algebras""; ""A?12.2. Complex cobordism""; ""References""; ""Stably Dualizable Groups""; ""Abstract""; ""Chapter 1. Introduction""; ""A?1.1. The symmetry groups of stable homotopy theory"" 327 $a""A?4.3. Eilenberg-Mac Lane spaces"" 410 0$aMemoirs of the American Mathematical Society 606 $aCommutative algebra 606 $aGalois theory 606 $aHomology theory 606 $aHomotopy theory 606 $aRing extensions (Algebra) 606 $aGalois theory 606 $aRing extensions (Algebra) 606 $aHomology theory 606 $aHomotopy theory 606 $aCommutative algebra 606 $aMathematics$2HILCC 606 $aPhysical Sciences & Mathematics$2HILCC 606 $aAlgebra$2HILCC 608 $aElectronic books. 615 4$aCommutative algebra. 615 4$aGalois theory. 615 4$aHomology theory. 615 4$aHomotopy theory. 615 4$aRing extensions (Algebra). 615 0$aGalois theory 615 0$aRing extensions (Algebra) 615 0$aHomology theory 615 0$aHomotopy theory 615 0$aCommutative algebra 615 7$aMathematics 615 7$aPhysical Sciences & Mathematics 615 7$aAlgebra 676 $a512/.32 700 $aRognes$b John$0521348 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910480228703321 996 $aGalois Extensions of Structured Ring Spectra$92149157 997 $aUNINA