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Proceedings of the American Mathematical Society

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

 

 

Not every near family is contained in a clan


Authors: S. A. Naimpally and J. H. M. Whitfield
Journal: Proc. Amer. Math. Soc. 47 (1975), 237-238
MSC: Primary 54E05
DOI: https://doi.org/10.1090/S0002-9939-1975-0358703-9
MathSciNet review: 0358703
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Abstract: In this note we solve an open problem concerning near structures and show that, unlike proximities and contiguities, not every near structure is induced by an elementary one.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0358703-9
Keywords: Nearness, near structures, clan, proximity, contiguity
Article copyright: © Copyright 1975 American Mathematical Society