3 papers
math.FA2026
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…
math.GN2026
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, Vo…
math.LO2025
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 Katětov below $\mathsf{nwd}…