4 papers
Grothendieck ideals of
Michael Hrusák, Michael A. Rincón-Villamizar, Luis Sáenz +1
We answer several questions in the literature concerning the Grothendieck property of ideals of the Banach lattice that contain . Any such ideal can be represent…
Are scales Fréchet?
Raul Figueroa-Sierra, Osvaldo Guzmán, Michael Hrušák +1
We continue the study of Dow spaces of a -scale, originally introduced by Alan Dow in "-Weight and the Fréchet-Urysohn property" (Topology and its Applications,…
Some combinatorial properties of semiselective ideals
Julián C. Cano, Carlos A. Di Prisco, Michael Hrušák
We present several combinatorial properties of semiselective ideals on the set of natural numbers. The continuum hypothesis implies that the complement of every selective ideal con…
The Category Dichotomy for Ideals
Alan Dow, Raul Figueroa-Sierra, Osvaldo Guzmán +1
We provide a counterexample to the Category Dichotomy in the framework of . That is, we prove the existence of an ideal on that is not KatÄtov below $\mathsf{nw…