{ "id": "1501.01448", "version": "v1", "published": "2015-01-07T11:20:49.000Z", "updated": "2015-01-07T11:20:49.000Z", "title": "Uniqueness of BP", "authors": [ "Vigleik Angeltveit", "John A. Lind" ], "comment": "11 pages, comments welcome", "categories": [ "math.AT" ], "abstract": "Fix a prime number p and a non-negative integer n. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP as a module over the Steenrod algebra, then X is weak homotopy equivalent to the p-completion of BP.", "revisions": [ { "version": "v1", "updated": "2015-01-07T11:20:49.000Z" } ], "analyses": { "keywords": [ "uniqueness", "weak homotopy equivalent", "mild finiteness condition", "prime number", "steenrod algebra" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150101448A" } } }