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On two problems of Harris concerning RC-proximities


Authors: P. L. Sharma and S. A. Naimpally
Journal: Proc. Amer. Math. Soc. 32 (1972), 312
MSC: Primary 54E05
DOI: https://doi.org/10.1090/S0002-9939-1972-0292022-1
MathSciNet review: 0292022
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Abstract: We give an example that settles the first and third problems posed recently by Douglas Harris [1]. The example shows that comparable RC-proximities on an RC-regular space need not give rise to comparable regular-closed embeddings, and that an RC-regular space need not have a largest regular-closed embedding.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0292022-1
Keywords: RC-proximities, regular-closed embeddings, minimal regular
Article copyright: © Copyright 1972 American Mathematical Society