P. Klinga

collaborators

4 papers

math.LO2025

$I ¨ $ -Porosity of Certain Ideals

PaweÅ Klinga, Andrzej Nowik, Anna WÄ sik

We investigate the $I ¨ $ -porosity of certain known ideals of subsets of natural numbers. Porosity is a notion of smallness in metric spaces that is stronger than nowhere density. An…

math.DS2025

Porosities of the sets of attractors

PaweÅ Klinga, Adam Kwela

This paper is another attempt to measure the difference between the family $A [0, 1]$ of attractors for iterated function systems acting on $[0, 1]$ and a broader family, the set $A_w…

math.DS2025

Comparison of the sets of attractors for systems of contractions and weak contractions

PaweÅ Klinga, Adam Kwela

For $n, d \in N$ we consider the families: - $L_{n}^{d}$ of attractors for iterated function systems (IFS) consisting of $n$ contractions acting on $[0, 1]^{d}$ , - $w L_{n}^{d}$ of attra…

math.DS2025

Borel complexity of the family of attractors for weak IFSs

PaweÅ Klinga, Adam Kwela

This paper is an attempt to measure the difference between the family of iterated function systems attractors and a broader family, the set of attractors for weak iterated function…

I¨-Porosity of Certain Ideals

Porosities of the sets of attractors

Comparison of the sets of attractors for systems of contractions and weak contractions

Borel complexity of the family of attractors for weak IFSs

$I ¨ $ -Porosity of Certain Ideals