{
  "id": "1607.05610",
  "version": "v1",
  "published": "2016-07-18T11:43:22.000Z",
  "updated": "2016-07-18T11:43:22.000Z",
  "title": "Homogeneous ideals on countable sets",
  "authors": [
    "Adam Kwela",
    "Jacek Tryba"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We say that an ideal I is homogeneous, if its restriction to any I-positive subset is isomorphic to I. The paper investigates basic properties of this notion -- we give examples of homogeneous ideals and present some applications to topology and ideal convergence. Moreover, we answer questions related to our research.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-18T11:43:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05"
    ],
    "keywords": [
      "homogeneous ideals",
      "countable sets",
      "basic properties",
      "answer questions",
      "ideal convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}