A note on $h$-proximities
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- by Ramesh Ori and W. J. Thron PDF
- Proc. Amer. Math. Soc. 83 (1981), 205-206 Request permission
Abstract:
It is shown that regularity and local bicompactness of the space $(X,c)$ is a necessary condition for the existence of a largest $h$-proximity on $(X,c)$. That these conditions are sufficient was shown earlier by the authors.References
- Ramesh Ori and W. J. Thron, Bounded families and their relations to largest members of certain classes of proximities, Math. Student 43 (1975), 73–83 (1976). MR 478109
- W. J. Thron, Proximity structures and grills, Math. Ann. 206 (1973), 35–62. MR 336710, DOI 10.1007/BF01431527
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 205-206
- MSC: Primary 54E05; Secondary 54D45
- DOI: https://doi.org/10.1090/S0002-9939-1981-0620014-4
- MathSciNet review: 620014