In attempting to make sense of other people, perceivers regularly construct and use categorical representations to simplify and streamline the person perception process. Noting the importance of categorical thinking in everyday life, our emphasis in this chapter is on the cognitive dynamics of categorical social perception. In reviewing current research on this topic, three specific issues are ...

We extend the Dikranjan-Uspenskij notions of c-compact and h-complete topological group to the morphism level, study the stability properties of the newly defined types of maps, such as closure under direct products, and compare them with their counterparts in topology. We assume Hausdorffness only when our proofs require us to do so, which leads to new results and the affirmation of some facts...

Transient attention to a visually salient cue enhances processing of a subsequent target in the same spatial location between 50 to 150 ms after cue onset (K. Nakayama & M. Mackeben, 1989). Do stimuli from a categorically defined target set, such as letters or digits, also generate transient attention? Participants reported digit targets among keyboard symbols in a changing array of 8 items. Wh...

In [1] Bergman and Berman define the notion of categorically equivalent algebras. In [6] we introduce minimal relational sets and point out the relationship between categorical equivalence of algebras and minimal relational sets corresponding to the algebras. In this paper we shall describe the minimal relational sets assigned to finite groups, see Theorem 3.1. Moreover, by using this descripti...

How do individuals compare images-for example, two graphs or diagrams-to identify differences between them? We argue that categorical relations between objects play a critical role. These relations divide continuous space into discrete categories, such as "above" and "below," or "containing" and "overlapping," which are remembered and compared more easily than precise metric values. These relat...

A positive answer to the open problem of Iorgulescu on extending weak-R 0 algebras and R 0-algebras to the noncommutative forms is given. We show that pseudo-weak-R 0 algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R 0 algebras are categorically isomorphic to pseudo-NM algebras. Some properties, the noncommutative forms of the properties in weak-R 0 algebras and R ...

Abstract Dependent refinement types are equipped with predicates that specify preconditions and postconditions of underlying functional languages. We propose a general semantic construction dependent type systems from predicate logic, is, liftings closed comprehension categories given (underlying) posetal fibrations for logic. give sufficient conditions to lift structures such as products, sums...

This paper considers group decision making by imperfect agents that only know quantized prior probabilities for use in Bayesian likelihood ratio tests. Global decisions are made by information fusion of local decisions, but information sharing among agents before local decision making is forbidden. The quantization scheme of the agents is investigated so as to achieve the minimum mean Bayes ris...