In: Tatra Mountains Mathematical Publications, vol. 35, no. 1
Andrzej Nowik
Detaily:
Rok, strany: 2007, 13 - 23
Kľúčové slová:
$aleph_0$-covering, Luzin sets, Sierpi'nski sets
O článku:
We prove that
oster
item"$ullet$" There is a partition of
$2^{omega}$ into an $F_{sigma}$ meager set $M$ and a
$G_{delta}$ negligible set $N$ such that every two
countable, disjoint sets can be moved into $M$ and $N$,
respectively, by the same translation.
smallskip
item"$ullet$" Under $CH$ there exists a Luzin (Sierpi'nski)
set $L$ and a meager (negligible) set $X$ such that each countable
subset of $L$ can be obtained by an intersection of $L$
and some translation of $X$.
smallskip
item"$ullet$" Under $CH$ for every meager (negligible)
set $X$ there exists a Luzin (Sierpi'nski) set $L$ such
that each countable subset of $X$ can be obtained by an
intersection of $X$ and some translation of $L$.
smallskip
item"$ullet$" The property of being an $aleph_0$-covering set is
not preserved by homeomorphisms defined on the whole space.
endroster
Ako citovať:
ISO 690:
Nowik, A. 2007. On extended version of ${aleph}0$-covering sets and their applications. In Tatra Mountains Mathematical Publications, vol. 35, no.1, pp. 13-23. 1210-3195.
APA:
Nowik, A. (2007). On extended version of ${aleph}0$-covering sets and their applications. Tatra Mountains Mathematical Publications, 35(1), 13-23. 1210-3195.