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FIBER BUNDLES AND HOMOTOPY
Buch von Dai Tamaki
Sprache: Englisch

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Beschreibung
This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book.
This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book.
Details
Erscheinungsjahr: 2021
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 338
ISBN-13: 9789811237997
ISBN-10: 9811237999
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Dai Tamaki
Hersteller: World Scientific
Maße: 235 x 157 x 23 mm
Von/Mit: Dai Tamaki
Erscheinungsdatum: 07.05.2021
Gewicht: 0,643 kg
preigu-id: 119807668
Details
Erscheinungsjahr: 2021
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 338
ISBN-13: 9789811237997
ISBN-10: 9811237999
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Dai Tamaki
Hersteller: World Scientific
Maße: 235 x 157 x 23 mm
Von/Mit: Dai Tamaki
Erscheinungsdatum: 07.05.2021
Gewicht: 0,643 kg
preigu-id: 119807668
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