Localization of Nilpotent Groups and Spaces (eBook)

eBook Download: PDF

1975 | 1. Auflage
155 Seiten
Elsevier Science (Verlag)
978-0-08-087126-4 (ISBN)

Infos

Localization of nilpotent groups and spaces

Inhalt

Front Cover 1
Localization of Nilpotent Groups and Spaces 4
Copyright Page 5
Table of Contents 6
Introduction 8
Chapter I. Localization of Nilpotent Groups 12
Introduction 12
1. Localization theory of nilpotent groups 14
2. Properties of localization in N 30
3 . Further properties of localization 34
4. Actions of a nilpotent group on an abelian group 45
5. Generalized Serre classes of groups 54
Chapter II. Localization of Homotopy Types 58
Introduction 58
1. Localization of 1–connected CW–complexes 63
2 . Nilpotent spaces 73
3. Localization of nilpotent complexes 83
4. Quasifinite nilpotent spaces 90
5. The main (pullback) theorem 93
6 . Localizing H–spaces 101
7. Mixing of homotopy types 105
Chapter III. Applications of Localization Theory 112
Introduction 112
1. Genus and H–spaces 115
2. Finite H–spaces, special results 133
3 . Non–cancellation phenomena 144
Bibliography 158
Index 165

Produkt-Details

• Erscheint lt. Verlag: 1.1.1975
• Mitarbeit: Herausgeber (Serie): Peter Hilton, Guido Mislin, Joe Roitberg
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• ISBN-10: 0-08-087126-7 / 0080871267
• ISBN-13: 978-0-08-087126-4 / 9780080871264