Minimal KC spaces are compact |
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Authors: | Angelo Bella Camillo Costantini |
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Affiliation: | a Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy b Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy |
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Abstract: | We show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must be compact (not necessarily T2). This solves a long-standing question, first raised by R. Larson in 1973. |
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Keywords: | primary, 54A10, 54D10, 54D30 secondary, 54A20, 54A25 |
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