3 papers
math.CT2025
Locally finitely presented Grothendieck categories with a flat generator
Lorenzo Martini, Carlos E. Parra, Manuel SaorÃn +1
A problem raised by Cuadra and Simson in 2007 asks whether any locally finitely presented Grothendieck category with enough flat objects also has enough projectives. In this paper,…
math.RA2025
A poisonous example to explicit resolutions of unbounded complexes
Dolors Herbera, Wolfgang Pitsch, Manuel SaorÃn +1
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to r…
math.CT2024
Hearts of set-generated t-structures have a set of generators
Manuel SaorÃn
We show that if is a regular cardinal, is an -compactly generated triangulated category, in the sense of Neeman \cite{N}, and is a t-structure in $\math…