2 citations · 5 across the 6 of their papers we have counts for
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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…
Simutaneously vanishing higher derived limits without large cardinals
Jeffrey Bergfalk, Michael Hrušák, Chris Lambie-Hanson
A question dating to Sibe Mardešić and Andrei Prasolov's 1988 work Strong homology is not additive, and motivating a considerable amount of set theoretic work in the ensuing years,…
Tukey order among ideals
Jialiang He, Michael Hrušák, Diego Rojas-Rebolledo +1
We investigate the Tukey order in the class of ideals of subsets of . We show that no nontrivial ideal is Tukey below a ideal of compact sets. We introduce the…
Ramsey theory for highly connected monochromatic subgraphs
Jeffrey Bergfalk, Michael Hrušák, Saharon Shelah
An infinite graph is highly connected if the complement of any subgraph of smaller size is connected. We consider weaker versions of Ramsey's Theorem asserting that in any coloring…
Base Tree Property
Bohuslav Balcar, Michal Doucha, Michael Hrušák
Building on previous work of [BPS] we investigate -closed partial orders of size continuum. We provide both an internal and external characterization of such partial orders by s…
Forcing with quotients
Michael Hrusak, Jindrich Zapletal
We study an extensive connection between factor forcings of Borel subsets of Polish spaces modulo a sigma-ideal, and factor forcings of subsets of countable sets modulo an ideal.