Selection principles and upper semicontinuous functions

Volume 117 / 2009

Masami Sakai Colloquium Mathematicum 117 (2009), 251-256 MSC: 54A20, 54C30, 54C35, 54D20. DOI: 10.4064/cm117-2-7


In connection with a conjecture of Scheepers, Bukovský introduced properties ${\rm wQN}^*$ and ${\rm SSP}^*$ and asked whether ${\rm wQN}^*$ implies ${\rm SSP}^*$. We prove it in this paper. We also give characterizations of properties S$_1(\Gamma, \Omega)$ and S$_{\rm fin}(\Gamma, \Omega)$ in terms of upper semicontinuous functions


  • Masami SakaiDepartment of Mathematics
    Kanagawa University
    Yokohama 221-8686, Japan

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