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arxiv: 0805.1466 · v1 · submitted 2008-05-10 · 🧮 math.GM · math.GN

The Iterative Simplicity of Basic Topological Operations

classification 🧮 math.GM math.GN
keywords finiteoperationssemigroupstopologicalalwaysbasicboundaryclosure
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Semigroups generated by topological operations such as closure, interior or boundary are considered. It is noted that some of these semigroups are in general finite and noncommutative. The problem is formulated whether they are always finite.

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