{ "id": "math/0209033", "version": "v1", "published": "2002-09-04T03:59:33.000Z", "updated": "2002-09-04T03:59:33.000Z", "title": "Unstable $K$-cohomology algebra is filtered lambda-ring", "authors": [ "Donald Yau" ], "comment": "17 pages", "journal": "Int. J. Math. Math. Sci. (2003), no. 10, 593-605.", "categories": [ "math.AT" ], "abstract": "Boardman, Johnson, and Wilson gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K-theory by taking into account its periodicity, we prove that an unstable algebra for complex $K$-theory is precisely a filtered $\\lambda$-ring, and vice versa.", "revisions": [ { "version": "v1", "updated": "2002-09-04T03:59:33.000Z" } ], "analyses": { "subjects": [ "55N20", "55N15", "55S05", "55S25" ], "keywords": [ "cohomology algebra", "filtered lambda-ring", "unstable algebra", "wilson gave", "precise formulation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......9033Y" } } }