Selection principles and
upper semicontinuous functions
Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 251-256
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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
Keywords:
connection conjecture scheepers bukovsk introduced properties wqn * ssp * asked whether wqn * implies ssp * prove paper characterizations properties gamma omega fin gamma omega terms upper semicontinuous functions
Affiliations des auteurs :
Masami Sakai 1
@article{10_4064_cm117_2_7,
author = {Masami Sakai},
title = {Selection principles and
upper semicontinuous functions},
journal = {Colloquium Mathematicum},
pages = {251--256},
year = {2009},
volume = {117},
number = {2},
doi = {10.4064/cm117-2-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm117-2-7/}
}
Masami Sakai. Selection principles and upper semicontinuous functions. Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 251-256. doi: 10.4064/cm117-2-7
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