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Englisch
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Beschreibung
"The modern era in homotopy theory began in the 1960s with the profound realization, first codified by Boardman in his construction of the stable category, that the category of spaces up to stable homotopy equivalence is equipped with a rich algebraic structure, formally similar to the derived category of a commutative ring R. For example, for pointed spaces the natural map from the categorical co-product to the categorical product becomes more and more connected as the pieces themselves become more and more connected"--
"The modern era in homotopy theory began in the 1960s with the profound realization, first codified by Boardman in his construction of the stable category, that the category of spaces up to stable homotopy equivalence is equipped with a rich algebraic structure, formally similar to the derived category of a commutative ring R. For example, for pointed spaces the natural map from the categorical co-product to the categorical product becomes more and more connected as the pieces themselves become more and more connected"--
Inhaltsverzeichnis
1. Introduction Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill; 2. Homotopical categories: from model categories to (¿,1)-categories Emily Riehl; 3. Stable categories and spectra via model categories Daniel Dugger; 4. Stable homotopy theory via ¿-categories Clark Barwick; 5. Operads and operadic algebras in homotopy theory Michael A. Mandell; 6. Commutative ring spectra Birgit Richter; 7. An introduction to Bousfield localization Tyler Lawson; 8. Spectral algebraic geometry Charles Rezk; Bibliography; Index.
Details
Erscheinungsjahr: | 2022 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781009123297 |
ISBN-10: | 1009123297 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Redaktion: | Hill, Michael A. |
Hersteller: | Cambridge University Press |
Maße: | 240 x 161 x 28 mm |
Von/Mit: | Michael A. Hill |
Erscheinungsdatum: | 01.07.2022 |
Gewicht: | 0,827 kg |
Inhaltsverzeichnis
1. Introduction Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill; 2. Homotopical categories: from model categories to (¿,1)-categories Emily Riehl; 3. Stable categories and spectra via model categories Daniel Dugger; 4. Stable homotopy theory via ¿-categories Clark Barwick; 5. Operads and operadic algebras in homotopy theory Michael A. Mandell; 6. Commutative ring spectra Birgit Richter; 7. An introduction to Bousfield localization Tyler Lawson; 8. Spectral algebraic geometry Charles Rezk; Bibliography; Index.
Details
Erscheinungsjahr: | 2022 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781009123297 |
ISBN-10: | 1009123297 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Redaktion: | Hill, Michael A. |
Hersteller: | Cambridge University Press |
Maße: | 240 x 161 x 28 mm |
Von/Mit: | Michael A. Hill |
Erscheinungsdatum: | 01.07.2022 |
Gewicht: | 0,827 kg |
Warnhinweis