The Khalimsky topologies are precisely those simply connected topologies on Z:::n::: whose connected sets include all 2n-connected sets but no (3n-1)-disconnected sets

T. Yung Kong. The Khalimsky topologies are precisely those simply connected topologies on Z:::n::: whose connected sets include all 2n-connected sets but no (3n-1)-disconnected sets. Theoretical Computer Science, 305(1-3):221-235, 2003. [doi]

@article{Kong03,
  title = {The Khalimsky topologies are precisely those simply connected topologies on Z:::n::: whose connected sets include all 2n-connected sets but no (3n-1)-disconnected sets},
  author = {T. Yung Kong},
  year = {2003},
  doi = {10.1016/S0304-3975(02)00710-7},
  url = {http://dx.doi.org/10.1016/S0304-3975(02)00710-7},
  researchr = {https://researchr.org/publication/Kong03},
  cites = {0},
  citedby = {0},
  journal = {Theoretical Computer Science},
  volume = {305},
  number = {1-3},
  pages = {221-235},
}