01731cam a2200277 i 4500
788144
ISI Library, Kolkata
20150114131308.0
750728s1974 ilu b 000 0 eng
0226005232
9780226005249
ISI Library
23
514.24
Ad214
Adams, J. F.
Stable homotopy and generalised homology /
J. F. Adams.
Chicago :
University of Chicago Press,
1974.
x, 373 p. ;
21 cm.
Chicago lectures in Mathematics
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.
Homotopy theory.
Homology theory.
Cobordism theory.
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