Research Catalog

Title

The classifying spaces for surgery and cobordism of manifolds / by Ib Madsen and R. James Milgram.

Author

Madsen, I. H. (Ib Henning), 1942-

Publication

Princeton, N.J. : Princeton University Press, 1979.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Milgram, R. James

Description

xii, 279 p.; 25 cm.

Series Statement

Annals of mathematics studies ; no. 92

Uniform Title

Annals of mathematics studies no. 92.

Subject

• Manifolds (Mathematics)
• Classifying spaces
• Surgery (Topology)
• Cobordism theory

Note

• Includes index.

Bibliography (note)

• Bibliography: p. 263-273.

Processing Action (note)

• committed to retain

Contents

Classifying spaces and cobordism -- The surgery classification of manifolds -- The spaces SG and BSG -- The homotopy structure of G/PL and G/TOP -- The homotopy structure of MSPL[1/2] and MSTOP[1/2] -- Infinite loop spaces and their homology operations -- The 2-local structure of B(G/TOP) -- The torsion free structure of the oriented cobordism rings -- The torsion free cohomology of G/TOP and G/PL -- The torsion free cohomology of BTOP and BPL -- Integrality theorems -- The smooth surgery classes and H[subscript *](BTOP; Z/2) -- The Bockstein spectral sequence for BTOP -- The types of torsion generators.

ISBN

• 0691082251 :
• 069108226X (pbk.) :

LCCN

^^^78070311^

OCLC

5783331

Owning Institutions

Harvard Library