25 citations · 54 across the 15 of their papers we have counts for
19 papers
More Ramsey theory for highly connected monochromatic subgraphs
Michael Hrušák, Saharon Shelah, Jing Zhang
An infinite graph is said to be highly connected if the induced subgraph on the complement of any set of vertices of smaller size is connected. We continue the study of weaker vers…
Almost disjoint families and the geometry of nonseparable spheres
Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider
We consider uncountable almost disjoint families of subsets of , the Johnson-Lindenstrauss Banach spaces induced by them, and…
Combinatorial properties of MAD families
Jörg Brendle, Osvaldo Guzmán, Michael Hrušák +1
We study some strong combinatorial properties of families. An ideal is Shelah-Steprāns if for every set there is an…
Invariant Ideal Axiom
Michael Hrušák, Alexander Shibakov
We introduce and prove the consistency of a new set theoretic axiom we call the \emph{Invariant Ideal Axiom}. The axiom enables us to provide (consistently) a full topological clas…
HL ideals and Sacks indestructible ultrafilters
David Chodounský, Osvaldo Guzmán, Michael Hrušák
We study ultrafilters on countable sets and reaping families which are indestructible by Sacks forcing. We deal with the combinatorial characterization of such families and we prov…
Conjugacy classes of big mapping class groups
Jesús Hernández Hernández, Michael Hrušák, Israel Morales +3
We describe the topological behavior of the conjugacy action of the mapping class group of an orientable infinite-type surface on itself. Our main results are: (1) All conjugac…