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Stable homotopy and generalised homology / J. F. Adams.

By: Adams, J. F.
Material type: TextTextSeries: Chicago lectures in Mathematics.Publisher: Chicago : University of Chicago Press, 1974Description: x, 373 p. ; 21 cm.ISBN: 0226005232; 9780226005249.Subject(s): Homotopy theory | Homology theory | Cobordism theoryDDC classification: 514.24
Contents:
Part I S.P. Novikov's work on operations on complex cobordism-- Part II Quillen's work on formal groups and complex cobordism-- Part III Stable homotopy and generalised homology-- References.
Summary: J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
514.24 Ad214 (Browse shelf) Checked out 10/04/2020 C26310
Books Books ISI Library, Kolkata
 
NBHM Collection
514.24 Ad214 (Browse shelf) Available 122175
Total holds: 0

Includes bibliographies.

Part I S.P. Novikov's work on operations on complex cobordism--
Part II Quillen's work on formal groups and complex cobordism--
Part III Stable homotopy and generalised homology--
References.

J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.

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