Algebraic and Classical Topology

Algebraic and Classical Topology

The Mathematical Works of J. H. C. Whitehead

1st Edition - January 1, 1962

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  • Editor: I. M. James
  • eBook ISBN: 9781483184777

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Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960. This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most. This book will prove useful to mathematicians.

Table of Contents

  • Editorial Preface

    Publications of J. H. C. Whitehead

    On Certain Theorems of G. W. Whitehead

    Note on the Whitehead Product

    Note on Fibre Spaces

    The Homotopy Theory of Sphere Bundles Over Spheres (I)

    The Homotopy Theory of Sphere Bundles Over Spheres (II)

    On Fibre Spaces in which the Fibre is Contractible

    Obstructions to Compression

    A First Approximation to Homotopy Theory

    The Theory of Carriers and S-Theory

    Duality in Homotopy Theory

    Duality in Topology

    Duality Between CW-Lattices

    Duality in Relative Homotopy Theory

    Homology with Zero Coefficients

    Note on the Condition n-colc

    On Involutions of Spheres

    On 2-Spheres in 3-Manifolds

    On Finite Cocycles and the Sphere Theorem

    A Proof and Extension of Dehn’s Lemma

    The Immersion of an Open 3-Manifold in Euclidean 3-Space

    Manifolds with Transverse Fields in Euclidean Space

    Imbedding of Manifolds in Euclidean Space

    Contents of Volumes I to IV

Product details

  • No. of pages: 364
  • Language: English
  • Copyright: © Pergamon 1962
  • Published: January 1, 1962
  • Imprint: Pergamon
  • eBook ISBN: 9781483184777

About the Editor

I. M. James

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