Some topological properties of $\omega$-covering sets

Title:

Some topological properties of $\omega$-covering sets

Creator:

Nowik, Andrzej

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:063b7159-44ca-43d6-926e-f303a394ba12
uuid:063b7159-44ca-43d6-926e-f303a394ba12

Subject:

${\omega }$-covering set, ${\mathcal E}$, and hereditarily nonparadoxical set

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove the following theorems: There exists an ${\omega }$-covering with the property $s_0$. Under $\mathop {\mathrm cov}\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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

865-877

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:4

Harvested from:

CDK

Metadata only:

false