Generalized quasi-metric semilattices

D Dikranjan, AG Bruno, HP Künzi, N Zava… - Topology and its …, 2022 - Elsevier
Motivated by the recent introduction of the intrinsic semilattice entropy, we study generalized
quasi-metric semilattices and their categories. We investigate the relationship between …

Weakly weighted generalised quasi-metric spaces and semilattices

I Castellano, AG Bruno, N Zava - Theoretical Computer Science, 2023 - Elsevier
Motivated by recent applications to entropy theory in dynamical systems, we generalise
notions introduced by Matthews and define weakly weighted and componentwise weakly …

Epimorphisms and closure operators of categories of semilattices

D Dikranjan, A Giordano Bruno… - Quaestiones …, 2023 - Taylor & Francis
Motivated by a problem posed in [10], we investigate the closure operators of the category
SLatt of join semilattices and its subcategory SLatt O of join semilattices with bottom …