Interior operators and topological separation |
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Authors: | G Castellini E Murcia |
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Institution: | Department of Mathematical Sciences, University of Puerto Rico at Mayagüez, Call Box 9000, Mayagüez, PR 00681-9000, USA |
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Abstract: | A notion of separation with respect to an interior operator in topology is introduced and some basic properties are presented. In particular, it is shown that this notion of separation with respect to an interior operator gives rise to a Galois connection between the collection of all subclasses of the class of topological spaces and the collection of all interior operators in topology. Characterizations of the fixed points of this Galois connection are given and examples are provided. |
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Keywords: | 54B30 54D10 18B30 06A15 |
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