Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

SELECTION PRINCIPLES AND HYPERSPACE TOPOLOGIES IN CLOSURE SPACES

  • Published : 2006.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

Relations between closure-type properties of hyperspaces over a $\v{C}ech$ closure space (X, u) and covering properties of (X, u) are investigated.

Keywords

References

  1. E. Cech, Topological Spaces, Publishing House of the Czechoslovak Academy of Science, Prague; Interscience Publishers John Wiley & Sons, London-New York- Sydney, 1966
  2. G. Di Maio, Lj. D. R. Kocinac, and E. Meccariello, Selection principles and hy- perspace topologies, Topology Appl. 153 (2005), no. 5-6, 912-923 https://doi.org/10.1016/j.topol.2005.01.020
  3. Lj. D. R. Kocinac, Selected results on selection principles, Proceedings of the 3rd Seminar on Geometry and Topology, July 15-17, 2004, Tabriz, Iran (Sh. Rezapour, ed.), 71-104
  4. Lj. D. R. Kocinac, The Reznichenko property and the Pytkeev property of hyperspaces, Acta Math. Hungar. 107 (2005), no. 3, 225-233 https://doi.org/10.1007/s10474-005-0192-0
  5. Lj. D. R. Kocinac and M. Scheepers, Combinatorics of open covers (VII): Groupa- bility, Fund. Math. 179 (2003), no. 2, 131-155 https://doi.org/10.4064/fm179-2-2
  6. M. Mrsevic, Proper and admissible topologies in closure spaces, Indian J. Pure Appl. Math. 36 (2005), no. 11, 613-627
  7. M. Sakai, Property C'' and function spaces, Proc. Amer. Math. Soc. 104 (1988), no. 3, 917-919
  8. M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology Appl. 69 (1996), no. 1, 31-62 https://doi.org/10.1016/0166-8641(95)00067-4

Cited by

  1. Selection principles in hyperspaces with generalized Vietoris topologies vol.156, pp.1, 2008, https://doi.org/10.1016/j.topol.2008.01.016
  2. Selection principles, γ-sets and αi-properties in Čech closure spaces vol.155, pp.17-18, 2008, https://doi.org/10.1016/j.topol.2007.07.008