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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Two examples in proximity spaces


Author: P. L. Sharma
Journal: Proc. Amer. Math. Soc. 53 (1975), 202-204
MSC: Primary 54E05
DOI: https://doi.org/10.1090/S0002-9939-1975-0380739-2
MathSciNet review: 0380739
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Abstract: Two examples of Lo-spaces are given. The first is an example of a Lo-space in which not every ultrafilter is contained in a cluster. In the Lo-space of the second example, each ultrafilter is contained in a cluster, and yet not every maximal bunch is a cluster.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0380739-2
Keywords: Lo-proximity, bunch, cluster
Article copyright: © Copyright 1975 American Mathematical Society

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