On two problems of Harris concerning RC-proximities
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- by P. L. Sharma and S. A. Naimpally PDF
- Proc. Amer. Math. Soc. 32 (1972), 312 Request permission
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.References
- Douglas Harris, Regular-closed spaces and proximities, Pacific J. Math. 34 (1970), 675–685. MR 284974
- Manuel P. Berri and R. H. Sorgenfrey, Minimal regular spaces, Proc. Amer. Math. Soc. 14 (1963), 454–458. MR 152978, DOI 10.1090/S0002-9939-1963-0152978-9
Additional Information
- © Copyright 1972 American Mathematical Society
- 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