27 citations · 138 across the 42 of their papers we have counts for
7 papers · 1 filter
May the successor of a singular cardinal be Jonsson?
Assaf Rinot
In this survey, we collect necessary conditions for the successor of a singular cardinal to be Jonsson.
The vanishing levels of a tree
Assaf Rinot, Shira Yadai, Zhixing You
We initiate the study of the spectrum of sets that can be realized as the vanishing levels of a normal -tree . The latter is an invariant in the sense that…
Diamond on ladder systems and countably metacompact topological spaces
Rodrigo Carvalho, Tanmay Inamdar, Assaf Rinot
The property of countable metacompactness of a topological space gets its importance from Dowker's 1951 theorem that the product of a normal space X with the unit interval is again…
Full Souslin trees at small cardinals
Assaf Rinot, Shira Yadai, Zhixing You
A -tree is said to be full if each of its limit levels omits no more than one potential branch. Kunen asked whether a full -Souslin tree may consistently exist. Shelah gave a…
A counterexample related to a theorem of Komjath and Weiss
Rodrigo Carvalho, Assaf Rinot
In a paper from 1987, Komjath and Weiss proved that for every regular topological space of character less than , if , then $X\rightarrow…
A Shelah group in ZFC
Márk Poór, Assaf Rinot
In a paper from 1980, Shelah constructed an uncountable group all of whose proper subgroups are countable. Assuming the continuum hypothesis, he constructed an uncountable group $G…