Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660803 | Topology and its Applications | 2006 | 10 Pages |
Abstract
A digital Jordan curve theorem is proved for a new topology defined on Z2. This topology is compared with the classical Khalimsky and Marcus topologies used in digital topology. We show that the Jordan curves with respect to the topology defined, unlike the Jordan curves with respect to any of the two classical topologies mentioned, may turn at the acute angle . We also discuss a quotient topology of the new topology.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology