Localization of Nilpotent Groups and Spaces

Localization of Nilpotent Groups and Spaces

1st Edition - January 1, 1975

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  • Authors: Peter Hilton, Guido Mislin, Joe Roitberg
  • eBook ISBN: 9781483258744

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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


    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


    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


    1. Genus and H-Spaces

    2. Finite H-Spaces, Special Results

    3. Non-Cancellation Phenomena



Product details

  • No. of pages: 166
  • Language: English
  • Copyright: © North Holland 1975
  • Published: January 1, 1975
  • Imprint: North Holland
  • eBook ISBN: 9781483258744

About the Authors

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

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