5 citations · 6 across the 5 of their papers we have counts for
8 papers · 1 filter
Borel Conjecture for the Marczewski ideal
Joerg Brendle, Wolfgang Wohofsky
We show in ZFC that there is no set of reals of size continuum which can be translated away from every set in the Marczewski ideal. We also show that in the Cohen model, every set…
Games on base matrices
Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky
Using a game characterization of distributivity, we show that base matrices for of regular height larger than necessarily have maximal br…
On heights of distributivity matrices
Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky
We construct a model in which there exists a distributivity matrix of regular height larger than ; both and are possible. A di…
Ideal Topologies in Higher Descriptive Set Theory
Peter Holy, Marlene Koelbing, Philipp Schlicht +1
We investigate generalizations of the topology of the higher Cantor space on , based on arbitrary ideals rather than the bounded ideal on . Our main focus is on the topolog…
Laver Trees in the Generalized Baire Space
Yurii Khomskii, Marlene Koelbing, Giorgio Laguzzi +1
We prove that any suitable generalization of Laver forcing to the space , for uncountable regular , necessarily adds a Cohen -real. We also study a dichotomy and an ide…
Cofinalities of Marczewski-like ideals
Joerg Brendle, Yurii Khomskii, Wolfgang Wohofsky
We show that the cofinalities of both the Miller ideal m^0 (the sigma-ideal naturally related to Miller forcing) and the Laver ideal ell^0 (related to Laver forcing) are larger tha…
An overview of the proof in "Borel Conjecture and Dual Borel Conjecture"
Martin Goldstern, Jakob Kellner, Saharon Shelah +1
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
Borel Conjecture and Dual Borel Conjecture
Martin Goldstern, Jakob Kellner, Saharon Shelah +1
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.