5 citations · 12 across the 8 of their papers we have counts for
10 papers
Hagendorf Orders
Jonathan Schilhan, Thilo Weinert
Call a linear order type Hagendorf if it shares two properties with additively indecomposable ordinal numbers without being one itself: is strictly indecomposable to the ri…
Infinite-Exponent Partition Relations on Higher Analogues of the Real Line
Lyra A. Gardiner, Jonathan Schilhan, Thilo Weinert
We present a number of results concerning infinite-exponent partition relations on linear orders of the form for an ordinal, generalising…
Calligraphy Concerning Casually Compiled Cardinal Characteristic Comparisons
Thilo Weinert
The paper establishes several inequalities between cardinal characteristics of the continuum. In particular, it is shown that the partition splitting number is not larger than the…
Wetzel families and the continuum
Jonathan Schilhan, Thilo Weinert
We provide answers to a question brought up by Erdős about the construction of Wetzel families in the absence of the continuum hypothesis - a Wetzel family is a family $\mathcal{F}…
Definable MAD families and forcing axioms
Vera Fischer, David Schrittesser, Thilo Weinert
We show that under the Bounded Proper Forcing Axiom and an anti-large cardinal assumption, there is a MAD family.
Lebesgue's Density Theorem and definable selectors for ideals
Sandra Müller, Philipp Schlicht, David Schrittesser +1
We introduce a notion of density point and prove results analogous to Lebesgue's density theorem for various well-known ideals on Cantor space and Baire space. In fact, we isolate…
The Polarised Partition Relation for Order Types
Lukas Daniel Klausner, Thilo Weinert
We analyse partitions of products with two ordered factors in two classes where both factors are countable or well-ordered and at least one of them is countable. This relates the p…
Cardinal characteristics of the continuum and partitions
William Chen, Shimon Garti, Thilo Weinert
We prove combinatorial theorems concerning the stick principle and cardinal characteristics.
New bounds on the Ramsey number
Ferdinand Ihringer, Deepak Rajendraprasad, Thilo V. Weinert
We investigate the Ramsey numbers which is the minimal natural number such that every oriented graph on vertices contains either an independent set of size $m…
Partitioning subsets of generalised scattered orders
Chris Lambie-Hanson, Thilo Weinert
In 1956, 48 years after Hausdorff provided a comprehensive account on ordered sets and defined the notion of a scattered order, Erdős and Rado founded the partition calculus in a s…