2 citations · 2 across the 4 of their papers we have counts for
4 papers
Non-singular maps in toposes with a local state classifier
Matí as Menni
Recent progress on the question of the size of the class of connected and hyperconnected geometric morphisms from a given topos has led to the definition of {\em local state classi…
The least subtopos containing the discrete skeleton of
Matí as Menni
Let be a pre-cohesive geometric morphism. We show that the least subtopos of containing both the subcategories $p^*: \mathcal{S} \to…
The successive dimension, without elegance
Matí as Menni
Experience shows that the poset of levels (or dimensions) of the topos of presheaves on some elegant Reedy categories may be equipped with a monotone increasing `successor' functio…
Decidable objects and molecular toposes
Matías Menni
We study several sufficient conditions for the molecularity/local-connectedness of geometric morphisms. In particuar, we show that if is a Boolean topos then, for eve…