# Lukas Daniel Klausner

St. Pölten University of Applied Sciences

Publications15

h-index1

Citations8

Highly Influential Citations0

- Publications
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Based on the well-known cardinal characteristics $\mathfrak{s}$, $\mathfrak{r}$ and $\mathfrak{i}$, we introduce nine related cardinal characteristics by using the notion of asymptotic density to… Continue Reading

Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals' uniformity numbers can be pairwise… Continue Reading

We reimplement the creature forcing construction used by Fischer et al. (arXiv:1402.0367) to separate Cicho\'{n}'s diagram into five cardinals as a countable support product. Using the fact that it… Continue Reading

Today, many different types of scams can be found on the internet. Online criminals are always finding new creative ways to trick internet users, be it in the form of lottery scams, downloading scam… Continue Reading

Given a countable model of set theory, we study the structure of its generic multiverse, the collection of its forcing extensions and ground models, ordered by inclusion. Mostowski showed that any… Continue Reading

We prove a general multi-dimensional central limit theorem for the expected number of vertices of a given degree in the family of planar maps whose vertex degrees are restricted to an arbitrary… Continue Reading

We prove a general multi-dimensional central limit theorem for the expected number of vertices of a given degree in the family of planar maps whose vertex degrees are restricted to an arbitrary… Continue Reading

This thesis collects several related results on cardinal characteristics of the continuum, all of which employ the method of creature forcing. In chapter A, we use a countable support product of lim… Continue Reading

We make two simple observations about properties of forcing notions without AC, one of which answers an open question.