{
  "id": "0911.4338",
  "version": "v3",
  "published": "2009-11-23T08:36:53.000Z",
  "updated": "2010-11-03T13:52:35.000Z",
  "title": "Configuration-like spaces and coincidences of maps on orbits",
  "authors": [
    "R. N. Karasev",
    "A. Yu. Volovikov"
  ],
  "journal": "Algebraic & Geometric Topology, 11, 2011, 1033-1052",
  "doi": "10.2140/agt.2011.11.1033",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper we study the spaces of $q$-tuples of points in a Euclidean space, without $k$-wise coincidences (configuration-like spaces). A transitive group action by permuting these points is considered, and some new upper bounds on the genus (in the sense of Krasnosel'skii--Schwarz and Clapp--Puppe) for this action are given. Some theorems of Cohen--Lusk type for coincidence points of continuous maps to Euclidean spaces are deduced.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-03T13:52:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80",
      "57S17",
      "14N20"
    ],
    "keywords": [
      "configuration-like spaces",
      "euclidean space",
      "cohen-lusk type",
      "upper bounds",
      "transitive group action"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4338K"
    }
  }
}