{
  "abstract": "We determine the reflexivity indices of certain topological spaces. The reflexivity index is a measure of certain type of dynamical complexity of the space. The reflexivity index is 1 exactly when there is a continuous selfmap on the space so that the orbit at each point is dense in the space. Spaces with index 1 include the rational numbers, the irrational numbers, an n-torus with 1≤n≤2ℵ0, and X∖0 where X is any infinite-dimensional separable Banach space. The index of 0,1 and Rn (n∈N) is 2.",
  "abstract_shown": true,
  "affiliations": [
    "Mathematics Department, University of New Hampshire, Durham, NH 03824, USA",
    "School of Information Technology, Murdoch University, Perth, WA 6150, Australia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Don W. Hadwin",
      "orcid": "0000-0002-5063-1703"
    },
    {
      "affs": [
        1
      ],
      "name": "Ken J. Harrison"
    },
    {
      "affs": [
        0
      ],
      "name": "Eric A. Nordgren"
    },
    {
      "affs": [
        0
      ],
      "name": "Junhao Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ayrcx7d2e918d.bib",
  "cited_by": 0,
  "doi": "10.3390/math14193586",
  "fulltext_url": null,
  "id": "ayrcx7d2e918d",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/19/3586",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7216517468",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/ayrcx7d2e918d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14193586",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/19/3586"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Advanced Topology and Set Theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Topological Spaces with Low Reflexivity Indices",
  "title_text": "Topological Spaces with Low Reflexivity Indices",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/ayrcx7d2e918d",
  "venue": "Mathematics",
  "versions": []
}