On some cardinal functions related to quasi-uniformities

Houston Journal of Mathematics

Volumn 26, Issue 2, 2000, Pages 299-312

  Künzi, Hans Peter A ^a   Losonczi, Attila ^b  

^a UNIVERSITY OF BERN   (Switzerland)

^b NONE

Author keywords

Quasi proximity class; Quasi uniformity; Transitive; Unique quasi uniformity

Indexed keywords

EID: 17444447509     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. R. Engelking, General Topology, Heldermann, Berlin, 1989.
2. P. Fletcher and W. F. Lindgren, Quasi-Uniform Spaces, Marcel Dekker, Lecture Notes Pure Appl. Math. 77, 1982.
3. R. Hodel, Cardinal Functions I, in Handbook of Set-Theoretic Topology, ed. by K. Kunen and J. E. Vaughan, North-Holland, Amsterdam (1984), pp. 3-61.
4. T. Jech, Set Theory, Academic press, Pure and Appl. Math. 79, 1978.
5. H.J.K. Junnila, H.-P. A. Künzi, S. Watson, On a class of hereditarily paracompact spaces, Found. Applied Math. 4 (1998), 141-154, (see http://at.yorku.ca/p/a/a/g/09.htm).
6. K. Kunen, Set Theory, An Introduction to Independence Proofs, North Holland, Studies in Logic and Found. Math. 102, 1980.
7. H.-P. A. Künzi, Topological spaces with a unique compatible quasi-uniformity, Canad. Math. Bull. 29 (1986), 40-43.
8. H.-P. A. Künzi, Functorial admissible quasi-uniformities on topological spaces, Topology Appl. 43 (1992), 27-36.
9. H.-P. A. Künzi, Nontransitive quasi-uniformities, Publ. Math. Debrecen, 55/1-2 (1999), 161-167.
10. H.-P. A. Künzi, Remark on a result of Losonczi, Studia Sci. Math. Hung. (to appear).
11. H.-P. A. Künzi and M. J. Pérez-Peñalver, The number of compatible totally bounded quasi-uniformities, preprint.
12. A. Losonczi, On the cardinality of compatible quasi-uniformities, Topology Appl. (to appear).
13. A. Losonczi, Topological spaces with a coarsest compatible quasi-uniformity, Quaestiones Math. (to appear).
14. A. Losonczi, On the cardinality of π(δ), Comment. Math. Univ. Carolinae (to appear).
15. W. J. Pervin, Quasi-uniformization of topological spaces, Math. Ann. 147 (1962), 316-317.
16. E.E. Reed, Uniformities obtained from filter spaces, Portugal. Math. 30 (1971), 29-40.
17. R. M. Stephenson, Jr., Initially κ-compact and related spaces, in Handbook of Set-Theoretic Topology, ed. by K. Kunen and J. E. Vaughan, pp. 603-632.