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Closure operations for digital topology

✍ Scribed by J. Šlapal

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
236 KB
Volume
305
Category
Article
ISSN
0304-3975

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✦ Synopsis

We study certain generalized topological structures, called closure operations, that are associated with -ary relations ( ¿ 1 an ordinal). It turns out that some of these structures are well-behaved with respect to connectedness and so are suitable for applications in digital topology. In particular, for any natural number n ¿ 1 we ÿnd 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.

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