Research Catalog

Title

A history of algebraic and differential topology, 1900-1960 / Jean Dieudonné.

Author

Dieudonné, Jean, 1906-1992.

Publication

Boston : Birkhäuser, c1988.

Items in the Library & Off-site

Details

Description

xxi, 648 p.; 24 cm.

Subject

• Geschichte 1900
• Algebraic topology > History
• Differential topology > History

Genre/Form

History

Bibliography (note)

• Includes bibliographical references and index.

Processing Action (note)

• committed to retain

Contents

Part 1: Simplicial techniques and homology -- I. The work of Poincaré -- II. The build-up of "classical" homology -- III. The beginnings of differential topology -- IV. The various homology and cohomology theories -- Part 2: The first applications of simplicial methods and of homology -- I. The concept of degree -- II. Dimension theory and separation theorems -- III. Fixed points -- IV. Local homological properties -- V. Quotient spaces and their homology -- VI. Homology of groups and homogeneous spaces -- VII. Applications of homology to geometry and analysis -- Part 3: Homotopy and its relation to homology -- I. Fundamental group and covering spaces -- II. Elementary notions and early results in homotopy theory -- IV. Homology of fibrations -- V. Sophisticated relations between homotopy and homology -- VI. Cohomology operations -- VII. Generalized homology and cohomology.

ISBN

081763388X

LCCN

^^^88014484^

OCLC

• 17875894
• SCSB-12894687

Owning Institutions

Harvard Library