{ "id": "2210.03284", "version": "v1", "published": "2022-10-07T02:17:00.000Z", "updated": "2022-10-07T02:17:00.000Z", "title": "Milnor operations and classifying spaces", "authors": [ "Masaki Kameko" ], "comment": "8 pages", "categories": [ "math.AT" ], "abstract": "We give an example of a nonzero odd degree element of the classifying space of a connected Lie group such that all higher Milnor operations vanish on it. It is a counterexample for a conjecture of Kono and Yagita.", "revisions": [ { "version": "v1", "updated": "2022-10-07T02:17:00.000Z" } ], "analyses": { "subjects": [ "55R40" ], "keywords": [ "classifying space", "nonzero odd degree element", "connected lie group", "higher milnor operations vanish" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }