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Vietnam Journal of Mathematics 36:4(2008) 451-454

 On a Problem by A. Hajnal and I. Juhász

Nuno C. Freire and M. F. Veiga

Abstract.  Assuming (GCH), we obtain in ZFC the answer to a Problem by A. Hajnal and I. Juhász on the cardinality of the class of the sets determining the topology of an infinite T₂ space in the negative.

1991 Mathematics Subject Classification: Primary 54A25, 54D10.

Keywords: Space, separated, cardinality.

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