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  • Author: Lucio R. Berrone x
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Given a mapping f from a finite set Xn on itself, we explore the finite topology τf defined by the stable subsets E of Xn; i.e., the subsets E of Xn which satisfy f(E) ⊆ E. Necessary and sufficient conditions are found in order that a finite topology τ may correspond to the topology τf for a certain mapping f. A number of results relating properties of topology τf with properties of the mapping f itself are also exposed.