A Characterization Theorem for the Canonical Basis of a Closure Operator |
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Authors: | Caspard N. |
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Affiliation: | (1) LRI, Université Paris Sud, 91405 Orsay cedex, France |
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Abstract: | The purpose of this paper is to provide a characterization result for the canonical basis of an arbitrary closure operator. This theorem strengthens the result of Burosch, Demetrovics and Katona, who propose a characterization of the generating system of a closure operator defined by the quasi-closed sets of the closure operator. |
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Keywords: | canonical basis closure operator critical set Moore family quasi-closed set |
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