From the 1 of 5 linked papers with an AI index.
5 papers
Possibilistic operators in Formal Concept Analysis as Kan extensions
Torgeir Aambø
The paper shows that the eight Dubois‑Prade possibilistic operators used in Formal Concept Analysis can be derived as Kan extensions of a Boolean profunctor, and uses this insight…
Collective deterrence as a classification problem: Voting rules, deterrence credibility, and escalation risk
Torgeir Aambø
Deterrence coalitions that collectively own their deterrence technology, need an institutional design to decide when to retaliate against an attack or incident. This choice of inst…
A categorical formalization of epistemic uncertainty frameworks
Torgeir Aambø
Epistemic uncertainty arises in lack of complete knowledge about the state of a system. There are multiple mathematical frameworks for measuring such uncertainty quantitatively, of…
Positselski duality in -categories
Torgeir Aambø
We introduce the notion of a contramodule over a cocommutative coalgebra in a presentably symmetric monoidal -category , and prove a symmetric monoidal $\infty…
Classification of localizing subcategories along t-structures
Torgeir Aambø
We study the interplay between localizing subcategories in a stable -category with -structure , the prestable…