Not every near family is contained in a clan
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- by S. A. Naimpally and J. H. M. Whitfield PDF
- Proc. Amer. Math. Soc. 47 (1975), 237-238 Request permission
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.References
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- S. A. Naimpally, Reflective functors via nearness, Fund. Math. 85 (1974), 245–255. MR 353244, DOI 10.4064/fm-85-3-245-255
- W. J. Thron, On a problem of F. Riesz concerning proximity structures, Proc. Amer. Math. Soc. 40 (1973), 323–326. MR 322818, DOI 10.1090/S0002-9939-1973-0322818-X
Additional Information
- © Copyright 1975 American Mathematical Society
- 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