Selection principles in uniform spaces

Note di Matematica

Volumn 22, Issue 2, 2003, Pages 127-139

  Kočinaci, Ljubiša D R ^a  

^a UNIVERSITY OF NI   (Serbia)

Author keywords

cover; cover; Groupability; Selection principles; Uniform set; Uniform hurewicz; Uniform menger; Uniform rothberger; Uniform space; Weak groupability.

Indexed keywords

EID: 33746058780     PISSN: 11232536     EISSN: 15900932     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. A.V. Arhangel'skiǐ: Hurewicz spaces, analytic sets and fan tightness of function spaces, Soviet Math. Doklady 33, (1986), 396-399.
2. L. Babinkostova, Lj. D. R. Kočinac, M. Scheepers: Combinatorics of open covers (VIII), Topology Appl., 140(1), (2004), 15-32.
3. A. A. Borubaev: Uniform Spaces and Uniformly Continuous Mappings, Ilim, Frunze, (1990) (In Russian).
4. R. Engelking: General Topology, PWN, Warszawa, (1977).
5. L. Gillman, M. Jerison: Rings of Continuous Functions, Springer-Verlag, New York-Heidelberg-Berlin, (19762).
6. J. Gerlits, Zs. Nagy: Some properties of C(X), I, Topology Appl., 14, (1982), 151-161.
7. W. Hurewicz: Über eine Verallgemeinerung des Borelschen Theorems, Math. Z., 24, (1925), 401-421.
8. W. Hurewicz: Über Folgen stetiger Funktionen, Fund. Math., 9, (1927), 193-204.
9. W. Just, A. W. Miller, M. Scheepers, P. J. Szeptycki: The combinatorics of open covers II, Topology Appl., 73, (1996), 241-266.
10. Lj. D. Kočinac: Star-Menger and related spaces, Publ. Math. Debrecen, 55, (1999), 421-431.
11. Lj. D. R. Kočinac, M. Scheepers: The combinatorics of open covers (VII): Groupability, Fund. Math., 179(2), (2003), 131-155.
12. H.-P. A. Künzi, M. Mršević, I. L. Reilly, M. K. Vamanamurthy: Pre-Lindelöf quasi-pseudo-metric quasi-uniform spaces, Mat. Vesnik, 46, (1994), 81-87.
13. K. Menger: Einige Überdeckungssätze der Punktmengenlehr, Sitzungsberischte Abt. 2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik (Wiener Akademie, Wien), 133, (1924), 421-444.
14. A. W. Miller, D. H. Fremlin: On some properties of Hurewicz, Menger and Rothberger, Fund. Math., 129, (1988), 17-33.
15. F. Rothberger: Eine Verschärfung der Eigenschaft C, Fund. Math., 30, (1938), 50-55.
16. M. Scheepers: Combinatorics of open covers I: Ramsey theory, Topology Appl., 69, (1996), 31-62.
17. J. W. Tukey: Convergence and Uniformity in Topology, Annals of Mathematics Studies, No. 2, Princeton University Press, (1940).