Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category   TopSys   of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by s. vickers, providing an algebraic and a coalgebraic category of the new structures. as a result, the nature of the category   topsys   of s. vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

In this survey, we give an overview over some aspects of the set of tilting objects in an $m-$cluster category, with focus on those properties which are valid for all $m geq 1$. We focus on the following three combinatorial aspects: modeling the set of tilting objects using arcs in certain polygons, the generalized assicahedra of Fomin and Reading, and colored quiver mutation.

In this contribution we investigate several extensions of the powerset that comprise arbitrarily nested subsets, and call them superpower set. This allows the definition of graphs with possibly infinitely nested nodes. additionally we define edges that are incident to edges. Since we use coalgebraic constructions we refer to these graphs as corecursive graphs. The superpower set functors are ex...

Prevention, control and eradication are three categories of actions used in relation to disease prophylactic activities. Prevention refers to measures taken to exclude diseases, or their causative agent from a healthy population, while control refers to actions taken to reduce the frequency of an existing disease to levels that can be locally tolerated. Eradication, on the other hand, refers to...

People often form impressions of others in contexts where both relatively static demographic cues (e.g., age, race, gender) and situationally-flexible, dynamic emotion expressions) are available. We examined whether how attending to gender (male, female) versus expression (neutral, smiling) affects threat-based person impressions. In three experiments, we heightened the salience either categori...