Lukas Daniel Klausner
St. Pölten University of Applied Sciences
Publications15
h-index1
Citations8
Highly Influential Citations0
- Publications
- Influence
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.