Convergence properties of hyperspaces

Journal of the Korean Mathematical Society

Volumn 44, Issue 4, 2007, Pages 845-854

  Di Maio, Giuseppe ^a   Kocinac Lj D R ^b   Nogura, Tsugunori ^c  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

^b UNIVERSITY OF NI   (Serbia)

^c EHIME UNIVERSITY   (Japan)

Author keywords

Filter Fr chet; Hyperspace; K cover; Selection principles; Set Frechet; Strongly filter Fr chet; Strongly set Fr chet; i properties; cover; k cover; cover

Indexed keywords

EID: 34547278689     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/jkms.2007.44.4.845     Document Type: Article

References (23)

1. A. V. Arhangel'skii, Frequency spectrum of a topological space and classification of spaces, Soviet Math. Dokl. 13 (1972), 1185-1189.
2. A. V. Arhangel'skiǐ and T. Nogura, Relative sequentiality, Topology Appl. 82 (1998), no. 1-3, 49-58.
3. C. Costantini, Ĺ. Holá and P. Vitolo, Tightness, character and related properties of hyperspace topologies, Topology Appl. 142 (2004), no. 1-3, 245-292.
4. G. Di Maio, Lj. D. R. Kočinac, and E. Meccariello, Selection principles and hyperspace topologies, Topology Appl. 153 (2005), no. 5-6, 912-923.
5. G. Di Maio, E. Meccariello, and S. Naimpally, Uniformizing (proximal) Δ-topologies, Topology Appl. 137 (2004), no. 1-3, 99-113.
6. R. Engelking, General Topology, Heldermann, Berlin, 1989.
7. J. M. G. Fell, A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff spaces, Proc. Amer. Math. Soc. 13 (1962), 472-476.
8. J. Gerlits and Zs. Nagy, Some properties of C(X), I, Topology Appl. 14 (1982), no. 2, 151-161.
9. J.-C. Hou, Character and tightness of hyperspaces with the Fell topology, Topology Appl. 84 (1998), no. 1-3, 199-206.
10. W. Just, A. W. Miller, M. Scheepers, and P. J. Szeptycki, Combinatorics of open covers II, Topology Appl. 73 (1996), no. 3, 241-266.
11. Lj. D. R. Kočinac, The Reznichenko property and the Pytkeev property in hyperspaces, Acta Math. Hungar. 107 (2005), no. 3, 225-233.
12. k-sets and hyperspaces, Math. Balkanica 19 (2005), 109-118.
13. Lj. D, R. Kočinac and M. Scheepers, Function spaces and a property of Reznichenko, Topology Appl. 123 (2002), no. 1, 135-143.
14. _, Combinatorics of open covers VII: Groupability, Fund. Math. 179 (2003), no. 2, 131-155.
15. K. Kunen, A compact L-space under CH, Topology Appl. 12 (1981), no. 3, 283-287.
16. V. I. Malyhin, The tightness and Suslin number in exp X and in a product of spaces, Soviet Math. Dokl. 13 (1972), 496-499.
17. i〉-spaces, Topology Appl. 21 (1985), no. 3, 251-259.
18. i-property versus A-property in topological spaces and groups, Stud. Sci. Math. Hungar. 33 (1997), no. 4, 351-362.
19. H. Poppe, Eine Bemerkung über Trennungsaxiome in Räumen von abgeschlossenen Teilmengen topologisher Räume, Arch. Math. 16 (1965), 197-199.
20. p(X), Topology Appl., to appear.
21. M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology Appl. 69 (1996), no. 1, 31-62.
22. i -spaces, Topology Appl. 89 (1998), no. 3, 265-275.
23. i -properties in Fréchet-Urysohn topological groups, Topology Proc. 15 (1990), 143-183.