This paper explores a particular part of the prosodic hierarchy—the area falling between the prosodic word and the phonological phrase. It develops a framework that reduces the types of genuine prosodic categories while at the same time making systematic use of adjunction structures and concomitant functional notions like maximal and minimal instantiations of categories. A detailed analysis of ...

We establish inequalities that constrain the genera of smooth cobordisms between knots in 4-dimensional cobordisms. These “relative adjunction inequalities” improve for closed surfaces which have been instrumental many topological applications gauge theory. The relative refine latter by incorporating numerical invariants boundary associated to Heegaard Floer homology classes determined 4-manifo...

We connect the dual adjunction between MV-algebras and Tychonoff spaces with the general theory of natural dualities, and provide a number of applications. In doing so, we simplify the aforementioned construction by observing that there is no need of using presentations of MV-algebras in order to obtain the adjunction. We also provide a description of the dual maps that is intrinsically geometr...