3 papers
math.AT2025
Bousfield-Kan completion and very large groups
Jaime Benabent Guerrero, Ramón Flores
We establish new criteria for the -badness of a space and apply it to the case of closed surfaces.
math.AC2025
All solid rings
Jaime Benabent Guerrero
We give an explicit characterization of the solid rings of the fourth type, finishing a work by Bousfield and Kan in the 1970s. As a consequence of our methods, we give criteria to…
math.AG2025
All subterminal schemes
Jaime Benabent Guerrero
We classify all subterminal schemes by characterizing their point structure, stalks, and topologies. This extends our previous classification of subterminal affine schemes, which c…