{
  "id": "1411.6886",
  "version": "v1",
  "published": "2014-11-25T14:52:41.000Z",
  "updated": "2014-11-25T14:52:41.000Z",
  "title": "A characterization of the discontinuity point set of strongly separately continuous functions on products",
  "authors": [
    "Olena Karlova",
    "Volodymyr Mykhaylyuk"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We study properties of strongly separately continuous mappings defined on subsets of products of topological spaces equipped with the topology of pointwise convergence. In particular, we give a necessary and sufficient condition for a strongly separately continuous mapping to be continuous on a product of an arbitrary family of topological spaces. Moreover, we charac\\-terize the discontinuity point set of strongly separately continuous function defined on a subset of countable product of finite-dimensional normed spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T14:52:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C08",
      "54C30",
      "26B05"
    ],
    "keywords": [
      "strongly separately continuous function",
      "discontinuity point set",
      "separately continuous mappings",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6886K"
    }
  }
}