Some topological properties of $\omega$-covering sets

@article{Nowik2000,
abstract = {We prove the following theorems: There exists an $\{\omega \}$-covering with the property $s_0$. Under $\mathop \{\mathrm \{c\}ov\}\nolimits (\{\mathcal \{N\}\}) = $ there exists $X$ such that $ \forall _\{B \in \{\mathcal \{B\}\}or\} [B\cap X$ is not an $\{\omega \}$-covering or $X\setminus B$ is not an $\{\omega \}$-covering]. Also we characterize the property of being an $\{\omega \}$-covering.},
author = {Nowik, Andrzej},
journal = {Czechoslovak Mathematical Journal},
keywords = {$\{\omega \}$-covering set; $\{\mathcal \{E\}\}$; hereditarily nonparadoxical set; -covering set; ; hereditarily nonparadoxical set},
language = {eng},
number = {4},
pages = {865-877},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some topological properties of $\omega $-covering sets},
url = {http://eudml.org/doc/30606},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Nowik, Andrzej
TI - Some topological properties of $\omega $-covering sets
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 865
EP - 877
AB - We prove the following theorems: There exists an ${\omega }$-covering with the property $s_0$. Under $\mathop {\mathrm {c}ov}\nolimits ({\mathcal {N}}) = $ there exists $X$ such that $ \forall _{B \in {\mathcal {B}}or} [B\cap X$ is not an ${\omega }$-covering or $X\setminus B$ is not an ${\omega }$-covering]. Also we characterize the property of being an ${\omega }$-covering.
LA - eng
KW - ${\omega }$-covering set; ${\mathcal {E}}$; hereditarily nonparadoxical set; -covering set; ; hereditarily nonparadoxical set
UR - http://eudml.org/doc/30606
ER -