{ "id": "2001.07404", "version": "v1", "published": "2020-01-21T09:29:06.000Z", "updated": "2020-01-21T09:29:06.000Z", "title": "Is $D$ symmetric monoidal?", "authors": [ "Neil Strickland" ], "comment": "This is a very old note, which has been circulating privately. I have been asked to upload it so that people can refer to it", "categories": [ "math.AT" ], "abstract": "We verify that a certain functor $D\\colon\\text{Sp}^\\Sigma(\\text{Ch}^+)\\to\\text{Ch}$ is symmetric monoidal. This functor is used elsewhere in developing the model category theory of symmetric spectra and of chain complexes graded over $\\mathbb{N}$ or $\\mathbb{Z}$.", "revisions": [ { "version": "v1", "updated": "2020-01-21T09:29:06.000Z" } ], "analyses": { "subjects": [ "18G35", "18D10", "55U35" ], "keywords": [ "symmetric monoidal", "model category theory", "symmetric spectra" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }