{ "id": "1911.08137", "version": "v1", "published": "2019-11-19T08:00:29.000Z", "updated": "2019-11-19T08:00:29.000Z", "title": "Bredon cohomology of finite dimensional $C_p$-spaces", "authors": [ "Samik Basu", "Surojit Ghosh" ], "comment": "20 pages. Comments are welcome", "categories": [ "math.AT" ], "abstract": "For finite dimensional free $C_p$-spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of $S^0$ is used to prove the non-existence of certain $C_p$-maps. These are related to Borsuk-Ulam type theorems, and equivariant maps related to the topological Tverberg conjecture. For finite dimensional $C_p$-spaces which are formed out of representations, it is proved that the cohomology is a free module over the cohomology of a point. All the calculations are done for the cohomology with constant coefficients $\\mathbb{Z}/p$.", "revisions": [ { "version": "v1", "updated": "2019-11-19T08:00:29.000Z" } ], "analyses": { "keywords": [ "bredon cohomology", "finite dimensional free", "borsuk-ulam type theorems", "equivariant maps", "constant coefficients" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }