{
  "id": "1802.05224",
  "version": "v1",
  "published": "2018-02-14T17:25:34.000Z",
  "updated": "2018-02-14T17:25:34.000Z",
  "title": "Some more algebra on ultrafilters in metric spaces",
  "authors": [
    "Igor Protasov"
  ],
  "comment": "metric space, ultrafilter, ball invariance, parallelity, prime and strongly prime ultrafilters",
  "categories": [
    "math.GN"
  ],
  "abstract": "We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-$\\check{C}$ech compactification of a discrete group as a right topological semigroup [3]. Our approach is based on the concept of parallelity introduced in the context of balleans in [4].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-14T17:25:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric spaces",
      "study metric counterparts",
      "continue algebraization",
      "discrete group",
      "ech compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}