论文信息 - A Jordan curve theorem with respect to a pretopology on ℤ2

A Jordan curve theorem with respect to a pretopology on ℤ2

We study a pretopology on ℤ2 having the property that the Khalimsky topology is one of its quotient pretopologies. Using this fact, we prove an analogue of the Jordan curve theorem for this pretopology, thus showing that such a pretopology provides a large variety of digital Jordan curves. Some consequences of this result are discussed too.

Josef Slapal

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