{
  "id": "1701.04642",
  "version": "v1",
  "published": "2017-01-17T12:20:52.000Z",
  "updated": "2017-01-17T12:20:52.000Z",
  "title": "Computability of semicomputable manifolds in computable topological spaces",
  "authors": [
    "Zvonko Iljazović",
    "Igor Sušić"
  ],
  "categories": [
    "math.LO",
    "cs.LO",
    "math.GN"
  ],
  "abstract": "We study computable topological spaces and semicomputable and computable sets in these spaces. In particular, we investigate conditions under which semicomputable sets are computable. We prove that a semicomputable compact manifold $M$ is computable if its boundary $\\partial M$ is computable. We also show how this result combined with certain construction which compactifies a semicomputable set leads to the conclusion that some noncompact semicomputable manifolds in computable metric spaces are computable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-17T12:20:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "computability",
      "semicomputable set",
      "computable metric spaces",
      "semicomputable compact manifold",
      "study computable topological spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}