01675cam a2200253 i 4500001000700000003002100007005001700028008004100045020001500086020001800101040001600119082002200135100001700157245006100174260005100235300002400286490003600310504002900346505019700375520078500572650002101357650002101378650002201399788144ISI Library, Kolkata20150114131308.0750728s1974 ilu b 000 0 eng a0226005232 a9780226005249 aISI Library00223a514.24bAd2141 aAdams, J. F.10aStable homotopy and generalised homology /cJ. F. Adams. aChicago :bUniversity of Chicago Press,c1974. ax, 373 p. ;c21 cm. aChicago lectures in Mathematics aIncludes bibliographies. aPart 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. aJ. 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. 0aHomotopy theory. 0aHomology theory. 0aCobordism theory.