Localization of Nilpotent Groups and Spaces - 1st Edition - ISBN: 9780720427165, 9781483258744

Localization of Nilpotent Groups and Spaces

1st Edition

Authors: Peter Hilton Guido Mislin Joe Roitberg
Editors: Leopoldo Nachbin
eBook ISBN: 9781483258744
Imprint: North Holland
Published Date: 1st January 1975
Page Count: 166
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Description

North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces.

The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena.

The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.

Table of Contents


Introduction

Chapter I. Localization of Nilpotent Groups

Introduction

1. Localization Theory of Nilpotent Groups

2. Properties of Localization in N

3. Further Properties of Localization

4. Actions of a Nilpotent Group on an Abelian Group

5. Generalized Serre Classes of Groups

Chapter II. Localization of Homotopy Types

Introduction

1. Localization of 1-Connected CW-Complexes

2. Nilpotent Spaces

3. Localization of Nilpotent Complexes

4. Quasifinite Nilpotent Spaces

5. The Main (Pullback) Theorem

6. Localizing H-Spaces

7. Mixing of Homotopy Types

Chapter III. Applications of Localization Theory

Introduction

1. Genus and H-Spaces

2. Finite H-Spaces, Special Results

3. Non-Cancellation Phenomena

Bibliography

Index

Details

No. of pages:
166
Language:
English
Copyright:
© North Holland 1975
Published:
Imprint:
North Holland
eBook ISBN:
9781483258744

About the Author

Peter Hilton

Affiliations and Expertise

Battelle Seattle Research Center, Seattle, and Case Western Reserve University, Cleveland

Guido Mislin

Affiliations and Expertise

Eidgenossische Technische Hochschule. Zurich

Joe Roitberg

Affiliations and Expertise

Institute for Advanced Study, Princeton, and Hunter College, New York

About the Editor

Leopoldo Nachbin

Affiliations and Expertise

University of Rochester