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Topologies on free monoids induced by families of languages. (English) Zbl 0533.20041

The paper is the continuation of the author’s paper [ibid. 14, 225-237 (1980; Zbl 0444.68077)]. There are described families of languages inducing interior operators on free monoids and discussed the determination of topologies induced by families of languages by means of neighbourhood systems.
Reviewer: J.Chvalina

MSC:

20M35 Semigroups in automata theory, linguistics, etc.
54A05 Topological spaces and generalizations (closure spaces, etc.)
22A30 Other topological algebraic systems and their representations

Citations:

Zbl 0444.68077
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References:

[1] 1. R. ENGELKING, Outline of General Topology, North-Holland, Amsterdam, 1968. Zbl0157.53001 MR230273 · Zbl 0157.53001
[2] 2. H. PRODINGER, Topologies on Free Monoids Induced by Closure Operators of a Special Type, R.A.I.R.O., Informatique théorique, Vol. 14, 1980, pp. 225-237. Zbl0444.68077 MR581679 · Zbl 0444.68077
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