10 citations · 50 across the 43 of their papers we have counts for
43 papers · 1 filter
Zaba: a case for clubs
Andrzej Roslanowski
We present several remarks on cardinal coefficients associated with the generalized Baire space for an inaccessible cardinal kappa. Our inquiry originates in the work of van der Vl…
Borel sets without perfectly many overlapping translations IV
Andrzej Roslanowski, Saharon Shelah
We show that, consistently, there exists a Borel set B subset Cantor admitting a sequence (eta_alpha:alpha<lambda) of distinct elements of Cantor such that (eta_alpha+B) cap (eta_b…
Borel sets without perfectly many overlapping translations, III
Andrzej Roslanowski, Saharon Shelah
We expand the results of Roslanowski and Shelah arXive:1806.06283 , arXive:1909.00937 to all perfect Abelian Polish groups . In particular, we show that if and $4\le…
Borel sets without perfectly many overlapping translations, II
Andrzej Roslanowski, Saharon Shelah
For a countable ordinal epsilon we construct a Sigma^0_2 subset of the Cantor space for which one may force aleph_epsilon translations with intersections of size 2i, but such that…
Explicit example of collapsing kappa^+ in iteration of kappa-proper forcings
Andrzej Roslanowski
We give an example of iteration of length omega of (<kappa)-complete kappa^+-cc forcing notions with the limit collapsing kappa^+. The construction is decoded from the proof of She…
Borel sets without perfectly many overlapping translations
Andrzej Roslanowski, Saharon Shelah
For a cardinal lambda<lambda_{omega_1} we give a ccc forcing notion P which forces that for some Borel subset B of the Cantor space (1) there a sequence (eta_alpha:alpha<lambda) of…