62 citations · 242 across the 29 of their papers we have counts for
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More on Halfway New Cardinal Characteristics
Barnabás Farkas, Lukas Daniel Klausner, Marc Lischka
We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency o…
Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals
Miguel Antonio Cardona, Lukas Daniel Klausner, Diego Alejandro Mejía
Combining creature forcing approaches from arXiv:1003.3425 and arXiv:1402.0367, we show that, under CH, there is a proper -bounding poset with -cc that forces contin…
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…
Halfway New Cardinal Characteristics
Jörg Brendle, Lorenz J. Halbeisen, Lukas Daniel Klausner +2
Based on the well-known cardinal characteristics , and , we introduce nine related cardinal characteristics by using the notion of asympt…
Cichoń's Diagram and Localisation Cardinals
Martin Goldstern, Lukas Daniel Klausner
We reimplement the creature forcing construction used by Fischer et al. (arXiv:1402.0367) to separate Cichoń's diagram into five cardinals as a countable support product. Using the…
Set-Theoretic Blockchains
Miha E. Habič, Joel David Hamkins, Lukas Daniel Klausner +2
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…
Many Different Uniformity Numbers of Yorioka Ideals
Lukas Daniel Klausner, Diego Alejandro Mejía
Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals' uniformity numbers…
Stranger Things about Forcing without AC
Martin Goldstern, Lukas Daniel Klausner
Typically, set theorists reason about forcing constructions in the context of ZFC. We show that without AC, several simple properties of forcing posets fail to hold, one of which a…