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]

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