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Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups [[electronic resource]]

Rognes John

Providence, : American Mathematical Society, 2008

Materiale a stampa

Lo trovi qui: Univ. Federico II

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Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups [[electronic resource]]

Rognes John

Providence, : American Mathematical Society, 2008

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups

Rognes John

Providence, : American Mathematical Society, 2008

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

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American Mathematical Society (3)

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Ultimi 50 anni (3)

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2008 (3)

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Electronic books. (1)

Autore	Rognes John
Pubbl/distr/stampa	Providence, : American Mathematical Society, 2008
Descrizione fisica	1 online resource (154 p.)
Disciplina	512/.32
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Commutative algebra Galois theory Homology theory Homotopy theory Ring extensions (Algebra) Mathematics Physical Sciences & Mathematics Algebra
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0504-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""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""
Record Nr.	UNINA-9910480228703321

Autore	Rognes John
Pubbl/distr/stampa	Providence, : American Mathematical Society, 2008
Descrizione fisica	1 online resource (154 p.)
Disciplina	512/.32
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Commutative algebra Galois theory Homology theory Homotopy theory Ring extensions (Algebra) Mathematics Physical Sciences & Mathematics Algebra
ISBN	1-4704-0504-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""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""
Record Nr.	UNINA-9910788851303321

Autore	Rognes John
Edizione	[1st ed.]
Pubbl/distr/stampa	Providence, : American Mathematical Society, 2008
Descrizione fisica	1 online resource (154 p.)
Disciplina	512/.32
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Commutative algebra Galois theory Homology theory Homotopy theory Ring extensions (Algebra) Mathematics Physical Sciences & Mathematics Algebra
ISBN	1-4704-0504-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""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""
Record Nr.	UNINA-9910961889103321