000 01731cam a2200277 i 4500
001 788144
003 ISI Library, Kolkata
005 20150114131308.0
008 750728s1974 ilu b 000 0 eng
020 _a0226005232
020 _a9780226005249
040 _aISI Library
082 0 0 _223
100 1 _aAdams, J. F.
245 1 0 _aStable homotopy and generalised homology /
_cJ. F. Adams.
260 _aChicago :
_bUniversity of Chicago Press,
300 _ax, 373 p. ;
_c21 cm.
490 _aChicago lectures in Mathematics
504 _aIncludes bibliographies.
505 _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.
520 _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.
650 0 _aHomotopy theory.
650 0 _aHomology theory.
650 0 _aCobordism theory.
942 _2ddc
999 _c15651