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2‐Local Cobordism Theories
Author(s) -
Taylor Laurence R.
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-14.2.303
Subject(s) - citation , cobordism , computer science , mathematics , library science , pure mathematics
We give new proofs of the principal results of Thorn [11], Wall [12], and BrowderLiulevicius-Peterson [3] on the structure of various cobordism theories at the prime 2. We improve the principal results of Browder-Liulevicius-Peterson by removing their hypothesis that certain cohomology groups are finite. The proofs use classical facts about H*(BO), H*(BSO) and the Steenrod algebra, together with an idea of J. Cohen [6]. Cohen's idea was to observe that for an homology theory E and certain spectra X, E*(X) may be quite easy to calculate. We can then use the Atiyah-Hirzebruch spectral sequence to try to calculate £*(pt.), which appears in E of the AHss.