Topological structure of digital plane

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Title: Topological Structure of Digital Plane and closure operations for digital topology We want a brief analyzation of those two sites(see attachement) and insert as many simple examples it is possible with images. We do not want complicated examples. No proofs required. make me a presentation as well about the project for 10-15 minutesWe study certain generalized topological structures, called closure operations, that are associated with -ary relations (1 an ordinal). It turns out that some ofthese structures are well-behaved with respect to connectedness and so are suitable for applications in digital topology.

In particular, for any natural number n1 we ,nd an appropriate closure operation on Z, which is associated with a special n-ary relation on Z. In the case n = 2 this closure operation coincides with the known Khalimsky topology

Reference no: EM13937739

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