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Cover: 9780691083179 | Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 | Buch
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104
Taschenbuch von Eric M. Friedlander
Sprache: Englisch

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Beschreibung
This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite Chevalley groups, and algebraic geometry. Of particular interest are the discussions concerning the Adams Conjecture, K-theories of finite fields, and Poincare duality. Because these applications have required repeated modifications of the original formulation of etale homotopy theory, the author provides a new treatment of the foundations which is more general and more precise than previous versions.

One purpose of this book is to offer the basic techniques and results of etale homotopy theory to topologists and algebraic geometers who may then apply the theory in their own work. With a view to such future applications, the author has introduced a number of new constructions (function complexes, relative homology and cohomology, generalized cohomology) which have immediately proved applicable to algebraic K-theory.
This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite Chevalley groups, and algebraic geometry. Of particular interest are the discussions concerning the Adams Conjecture, K-theories of finite fields, and Poincare duality. Because these applications have required repeated modifications of the original formulation of etale homotopy theory, the author provides a new treatment of the foundations which is more general and more precise than previous versions.

One purpose of this book is to offer the basic techniques and results of etale homotopy theory to topologists and algebraic geometers who may then apply the theory in their own work. With a view to such future applications, the author has introduced a number of new constructions (function complexes, relative homology and cohomology, generalized cohomology) which have immediately proved applicable to algebraic K-theory.
Über den Autor
Eric M. Friedlander
Details
Erscheinungsjahr: 1982
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691083179
ISBN-10: 0691083177
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Friedlander, Eric M.
Redaktion: Mather, John N.
Griffiths, Phillip
Hersteller: Princeton University Press
Maße: 229 x 152 x 11 mm
Von/Mit: Eric M. Friedlander
Erscheinungsdatum: 21.12.1982
Gewicht: 0,287 kg
Artikel-ID: 107488659
Über den Autor
Eric M. Friedlander
Details
Erscheinungsjahr: 1982
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691083179
ISBN-10: 0691083177
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Friedlander, Eric M.
Redaktion: Mather, John N.
Griffiths, Phillip
Hersteller: Princeton University Press
Maße: 229 x 152 x 11 mm
Von/Mit: Eric M. Friedlander
Erscheinungsdatum: 21.12.1982
Gewicht: 0,287 kg
Artikel-ID: 107488659
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