15 citations · 79 across the 34 of their papers we have counts for
37 papers
Countable dense homogeneity in large products of Polish spaces
Andrea Medini, Juris Steprāns
We give a unified treatment of the countable dense homogeneity of products of Polish spaces, with a focus on uncountable products. Our main result states that a product of fewer th…
Adding ultrafilters to Shelah's model for no nowhere dense ultrafilters
Dilip Raghavan, Juris Steprāns
We exhibit a forcing for producing a model with no nowhere dense ultrafilters that satisfies the full Sacks Property. By interleaving this forcing with other forcing notions, a mod…
Stable ordered-union versus selective ultrafilters
Dilip Raghavan, Juris Steprans
It will be shown to be consistent that there are at least two non-isomorphic selective ultrafilters, but no stable ordered-union ultrafilters. This answers a question of Blass from…
Ramsey theory over partitions II: Negative Ramsey relations and pump-up theorems
Menachem Kojman, Assaf Rinot, Juris Steprans
In this series of papers we advance Ramsey theory of colorings over partitions. In this part, we concentrate on anti-Ramsey relations, or, as they are better known, strong coloring…
The almost disjointness invariant for products of ideals
Dilip Raghavan, Juris Steprans
The almost disjointness numbers associated to the quotients determined by the transfinite products of the ideal of finite sets are investigated. A lower bound involv…
Ramsey theory over partitions III: Strongly Luzin sets and partition relations
Menachem Kojman, Assaf Rinot, Juris Steprans
The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of real…