Minimal KC spaces are compact |
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| Authors: | Angelo Bella Camillo Costantini |
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| Institution: | 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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