This paper introduces the concept of an approach merotopological space and studies its categorytheoretic properties. Various topological categories are shown to be embedded into the category whose objects are approach merotopological spaces. The order structure of the family of all approachmerotopologies on a nonempty set is discussed. Employing the theory of bunches, bunch completion of an app...

In this abstract, we try to build a bridge between Guarino’s notion of quality fields/patterns and the Theory of Conceptual Spaces (CS). For that, we employ an extension of CS called Holistic-Structure Spaces.

Biological macromolecules, living in the confines of a cell, often adopt conformations that are unlikely to occur in free space. In this paper, we investigate the effects of confinement on the shape of a semiflexible chain. Results of Monte Carlo simulations show the existence of a shape transition when the persistence length of the polymer becomes comparable to the dimensions of the box. An or...

This paper investigates an important, yet under-researched topic in CSCW, namely shared, or common, information spaces. We provide some background to work in the area, and then proceed to examine features of such spaces. The work involved in both putting information in common, and in interpreting it, has often not been sufficiently recognized. Through a number of situations we discuss the influ...

We show that the loop spaces on real projective spaces are topologically approximated by the spaces of rational maps RP → RP. As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.

Online social platforms are beset with hateful speech content that expresses hatred for a person or group of people. Such content can frighten, intimidate, or silence platform users, and some of it can inspire other users to commit violence. Despite widespread recognition of the problems posed by such content, reliable solutions even for detecting hateful speech are lacking. In the present work...

We define a general notion of single-peaked preferences based on abstract betweenness relations. Special cases are the classical example of single-peaked preferences on a line, the separable preferences on the hypercube, the “multi-dimensionally singlepeaked” preferences on the product of lines, but also the unrestricted preference domain. Generalizing and unifying the existing literature, we s...

Good governance is based on recognition of the interests of all stakeholders and inclusion of their interests where possible. Interests can be expressed in a variety of ways, for example: sovereignty, jurisdiction, administration, ownership (title), lease, license, permit, quota, customary rights, aboriginal rights, collective rights, community rights, littoral rights, public rights, rights of ...