S. Plewik

collaborators

3 papers

math.LO2007

On the ideal $(v^{0})$

Piotr Kalemba, Szymon Plewik, Anna Wojciechowska

The $σ$ -ideal $(v^{0})$ is associated with the Silver forcing, see \cite{bre}. Also, it constitutes the family of all completely doughnut null sets, see \cite{hal}. We introduce segm…

math.GN2007

Inverse Systems and I-Favorable Spaces

Andrzej Kucharski, Szymon Plewik

A compact space X is I-favorable if, and only if X can be representing as a limit of $σ$ -complete inverse system of compact metrizable spaces with skeletal bonding maps.

math.GM2007

Discontinuity and Involutions on Countable Sets

Sung Soo Kim, Szymon Plewik

For any infinite subset $X$ of the rationals and a subset $F \subseteq X$ which has no isolated points in $X$ we construct a function $f : X \to X$ such that $f (f (x)) = x$ for each $x…

On the ideal (v0)

Inverse Systems and I-Favorable Spaces

Discontinuity and Involutions on Countable Sets

On the ideal $(v^{0})$