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A note on $ h$-proximities

Authors: Ramesh Ori and W. J. Thron
Journal: Proc. Amer. Math. Soc. 83 (1981), 205-206
MSC: Primary 54E05; Secondary 54D45
MathSciNet review: 620014
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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 [Enhancements On Off] (What's this?)

  • [1] R. Ori and W. J. Thron, Bounded families and their relations to largest members of certain classes of proximities, Math. Student 43 (1975), 73-83. MR 0478109 (57:17598)
  • [2] W. J. Thron, Proximity structures and grills, Math. Ann. 206 (1973), 35-62. MR 0336710 (49:1483)

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Article copyright: © Copyright 1981 American Mathematical Society

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