04198nam 22008173u 450 991048022870332120210108150454.01-4704-0504-0(CKB)3360000000465082(EBL)3114246(SSID)ssj0000973545(PQKBManifestationID)11553187(PQKBTitleCode)TC0000973545(PQKBWorkID)10960473(PQKB)11393979(MiAaPQ)EBC3114246(PPN)195417879(EXLCZ)99336000000046508220170301d2008|||| u|| |engur|n|---|||||txtccrGalois Extensions of Structured Ring Spectra/Stably Dualizable Groups[electronic resource]Providence American Mathematical Society20081 online resource (154 p.)Memoirs of the American Mathematical Society ;v.192Description based upon print version of record.0-8218-4076-2 ""Contents""; ""Galois Extensions of Structured Ring Spectra""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Galois extensions in algebra""; ""Â2.1. Galois extensions of fields""; ""Â2.2. Regular covering spaces""; ""Â2.3. Galois extensions of commutative rings""; ""Chapter 3. Closed categories of structured module spectra""; ""Â3.1. Structured spectra""; ""Â3.2. Localized categories""; ""Â3.3. Dualizable spectra""; ""Â3.4. Stably dualizable groups""; ""Â3.5. The dualizing spectrum""; ""Â3.6. The norm map""; ""Chapter 4. Galois extensions in topology""""Â4.1. Galois extensions of E-local commutative S-algebras""""Â4.2. The Eilenberg-Mac Lane embedding""; ""Â4.3. Faithful extensions""; ""Chapter 5. Examples of Galois extensions""; ""Â5.1. Trivial extensions""; ""Â5.2. Eilenberg-Mac Lane spectra""; ""Â5.3. Real and complex topological K-theory""; ""Â5.4. The Morava change-of-rings theorem ""; ""Â5.5. The K(1)-local case ""; ""Â5.6. Cochain S-algebras ""; ""Chapter 6. Dualizability and alternate characterizations""; ""Â6.1. Extended equivalences""; ""Â6.2. Dualizability""; ""Â6.3. Alternate characterizations""""Chapter 10. Mapping spaces of commutative S-algebras""""Â10.1. Obstruction theory""; ""Â10.2. Idempotents and connected S-algebras""; ""Â10.3. Separable closure""; ""Chapter 11. Galois theory II""; ""Â11.1. Recovering the Galois group""; ""Â11.2. The brave new Galois correspondence""; ""Chapter 12. Hopfâ€?Galois extensions in topology""; ""Â12.1. Hopfâ€?Galois extensions of commutative S-algebras""; ""Â12.2. Complex cobordism""; ""References""; ""Stably Dualizable Groups""; ""Abstract""; ""Chapter 1. Introduction""; ""Â1.1. The symmetry groups of stable homotopy theory""""Â4.3. Eilenberg-Mac Lane spaces""Memoirs of the American Mathematical SocietyCommutative algebraGalois theoryHomology theoryHomotopy theoryRing extensions (Algebra)Galois theoryRing extensions (Algebra)Homology theoryHomotopy theoryCommutative algebraMathematicsHILCCPhysical Sciences & MathematicsHILCCAlgebraHILCCElectronic books.Commutative algebra.Galois theory.Homology theory.Homotopy theory.Ring extensions (Algebra).Galois theoryRing extensions (Algebra)Homology theoryHomotopy theoryCommutative algebraMathematicsPhysical Sciences & MathematicsAlgebra512/.32Rognes John521348AU-PeELAU-PeELAU-PeELBOOK9910480228703321Galois Extensions of Structured Ring Spectra2149157UNINA