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NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS

  • BABINKOSTOVA L. (Faculty of Natural Sciences and Mathematics Institute of Mathematics) ;
  • KOCINAC LJ. D. R. (Faculty of Sciences University of Nis) ;
  • SCHEEPERS M. (Department of Mathematics Boise State University)
  • 발행 : 2005.07.01

초록

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

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참고문헌

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피인용 문헌

  1. Versions of properties (a) and (pp) vol.158, pp.12, 2011, https://doi.org/10.1016/j.topol.2011.05.010
  2. Some covering properties in topological and uniform spaces vol.252, pp.1, 2006, https://doi.org/10.1134/S0081543806010123
  3. Selective games on binary relations vol.192, 2015, https://doi.org/10.1016/j.topol.2015.05.071