CLOSURE OPERATORS ASSOCIATED WITH RELATIONS
Keywords:
Closure operator, ordinal (number), relation, path, connectedness, Khalimsky topologyAbstract
We study closure operators that are associated with $\alpha$-ary relations where $\alpha>1$ is an ordinal. In particular, we show that the connectedness with respect to the closure operators is a certain kind of path-wise connectedness. We demonstrate a possible application of our results in digital topology.
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