3 papers
math.LO2023
More minimal non--scattered linear orders
Roy Shalev
Assuming an instance of the Brodsky-Rinot proxy principle holding at a regular uncountable cardinal , we construct -many pairwise non-embeddable minimal non--scattered l…
math.LO2022
A new small Dowker space
Assaf Rinot, Roy Shalev, Stevo Todorcevic
It is proved that if there exists a Luzin set, or if either the stick principle or diamond(b) hold, then a strong instance of the guessing principle holds at the f…
math.LO2021
A guessing principle from a Souslin tree, with applications to topology
Assaf Rinot, Roy Shalev
We introduce a new combinatorial principle which we call . This principle asserts the existence of a certain multi-ladder system with guessing and almost-disjointne…