Two examples in proximity spaces
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- by P. L. Sharma PDF
- Proc. Amer. Math. Soc. 53 (1975), 202-204 Request permission
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.References
- S. A. Naimpally and B. D. Warrack, Proximity spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 59, Cambridge University Press, London-New York, 1970. MR 0278261
Additional Information
- © Copyright 1975 American Mathematical Society
- 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