Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2005.07.01
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Abstract

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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References

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  3. Selective games on binary relations vol.192, 2015, https://doi.org/10.1016/j.topol.2015.05.071