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Nontransitive Quasi-Uniformities in the Pervin Quasi-Proximity Class

H.-P. A. Künzi
Proceedings of the American Mathematical Society
Vol. 130, No. 12 (Dec., 2002), pp. 3725-3730
Stable URL: http://www.jstor.org/stable/1194416
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Nontransitive Quasi-Uniformities in the Pervin Quasi-Proximity Class
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Abstract

We show that each topological space that does not admit a unique quasi-uniformity possesses a Pervin quasi-proximity class containing at least 2c nontransitive members.

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