Summary
This paper introduces a new form of the pairwiseR 1 property for bitopological spaces, and investigates spaces having this property. It is shown that such spaces are essentially pairwise Hausdorff in their behaviour except in the presence of compactness.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cooke I. E. and I. L. Reilly,On bitopological compactness, (to appear).
Davis A. S.,Indexed systems of neighbourhoods for general topological spaces, Amer. Math. Montly, 68 (1961), 886–893.
Fletcher P., H. B. Hoyle III and C. W. Patty,The comparison of topologies, Duke Math. Journal, 36 (1969), 325–331.
Kelly J. C.,Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71–89.
Misra D. N. and K. K. Dube,Pairwise R o space, Ann. de la Soc. Sci. de Bruxelles, T. 87, I, (1973), 3–15.
Murdeshwar M. G. and S. A. Naimpally,Quasi-uniform topological spaces, Noordhoff, Groningen, 1966.
Pervin W. J.,Foundations of general topology, Academic Press, New York, 1964.
Reilly I. L.,On bitopological separation properties, Nanta Mathematica, V (1972), 14–25.
Reilly I. L.,Bitopological local compactness, Nederl. Akad. Wetensch. Proc. Ser. A 75, Indag. Math., 34 (1972), 407–411.
Weston J. D.,On the comparison of topologies, J. London Math. Soc., 32 (1957), 342–354.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Reilly, I.L. On essentially pairwise Hausdorff spaces. Rend. Circ. Mat. Palermo 25, 47–52 (1976). https://doi.org/10.1007/BF02849558
Issue Date:
DOI: https://doi.org/10.1007/BF02849558