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Cover: 9781108831444 | Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
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Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
Buch von Michael A. Hill (u. a.)
Sprache: Englisch

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Beschreibung
This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic topology. It develops all the machinery that is needed for the proof, and details many explicit constructions and computations performed along the way, making it suitable for graduate students as well as experts in homotopy theory.
This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic topology. It develops all the machinery that is needed for the proof, and details many explicit constructions and computations performed along the way, making it suitable for graduate students as well as experts in homotopy theory.
Über den Autor
Michael A. Hill is Professor at the University of California, Los Angeles. He is the author of several papers on algebraic topology and is an editor for journals including Mathematische Zeitschrift and Transactions of the American Mathematical Society.
Inhaltsverzeichnis
1. Introduction; Part I. The Categorical Tool Box: 2. Some Categorical Tools; 3. Enriched Category Theory; 4. Quillen's Theory of Model Categories; 5. Model Category Theory Since Quillen; 6. Bousfield Localization; Part II. Setting Up Equivariant Stable Homotopy Theory: 7. Spectra and Stable Homotopy Theory; 8. Equivariant Homotopy Theory; 9. Orthogonal G-spectra; 10. Multiplicative Properties of G-spectra; Part III. Proving the Kervaire Invariant Theorem: 11. The Slice Filtration and Slice Spectral Sequence; 12. The Construction and Properties of $MU_{\R}$; 13. The Proofs of the Gap, Periodicity and Detection Theorems; References; Table of Notation; Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781108831444
ISBN-10: 1108831443
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hill, Michael A.
Hopkins, Michael J.
Ravenel, Douglas C.
Hersteller: Cambridge University Press
Maße: 250 x 175 x 51 mm
Von/Mit: Michael A. Hill (u. a.)
Erscheinungsdatum: 29.07.2021
Gewicht: 1,67 kg
Artikel-ID: 119083387
Über den Autor
Michael A. Hill is Professor at the University of California, Los Angeles. He is the author of several papers on algebraic topology and is an editor for journals including Mathematische Zeitschrift and Transactions of the American Mathematical Society.
Inhaltsverzeichnis
1. Introduction; Part I. The Categorical Tool Box: 2. Some Categorical Tools; 3. Enriched Category Theory; 4. Quillen's Theory of Model Categories; 5. Model Category Theory Since Quillen; 6. Bousfield Localization; Part II. Setting Up Equivariant Stable Homotopy Theory: 7. Spectra and Stable Homotopy Theory; 8. Equivariant Homotopy Theory; 9. Orthogonal G-spectra; 10. Multiplicative Properties of G-spectra; Part III. Proving the Kervaire Invariant Theorem: 11. The Slice Filtration and Slice Spectral Sequence; 12. The Construction and Properties of $MU_{\R}$; 13. The Proofs of the Gap, Periodicity and Detection Theorems; References; Table of Notation; Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781108831444
ISBN-10: 1108831443
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hill, Michael A.
Hopkins, Michael J.
Ravenel, Douglas C.
Hersteller: Cambridge University Press
Maße: 250 x 175 x 51 mm
Von/Mit: Michael A. Hill (u. a.)
Erscheinungsdatum: 29.07.2021
Gewicht: 1,67 kg
Artikel-ID: 119083387
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