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Vietnam Journal of Mathematics 36:4(2008) 451-454 |
On a Problem by A. Hajnal and I. Juh\'{a}sz |
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Nuno C. Freire$^1$ and M. F. Veiga$^2$ |
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Abstract. Assuming (GCH), we obtain in ZFC the answer to a Problem by A. Hajnal and I. Juh\'{a}sz on the cardinality of the class of the sets determining the topology of an infinite $T_{2}$ space in the negative. |
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1991 Mathematics Subject Classification: Primary 54A25, 54D10. |
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Keywords: Space, separated, cardinality. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |