{ "id": "1807.04253", "version": "v1", "published": "2018-07-11T17:20:25.000Z", "updated": "2018-07-11T17:20:25.000Z", "title": "The localization theorem for framed motivic spaces", "authors": [ "Marc Hoyois" ], "categories": [ "math.AG", "math.AT", "math.KT" ], "abstract": "We prove the analog of the Morel-Voevodsky localization theorem for framed motivic spaces. We deduce that framed motivic spectra are equivalent to motivic spectra over arbitrary Z[1/2]-schemes, and we give a new construction of motivic cohomology for such schemes.", "revisions": [ { "version": "v1", "updated": "2018-07-11T17:20:25.000Z" } ], "analyses": { "keywords": [ "framed motivic spaces", "morel-voevodsky localization theorem", "framed motivic spectra", "motivic cohomology", "construction" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }