Quasi-Normal Relations - a New Class of Relations

Quasi-regular Relations – a New Class of Relations on Sets

Following Jiang Guanghao and Xu Luoshan’s concept of conjugative, dually conjugative, normal and dually normal relations on sets, the concept of quasi-regular relations is introduced. Characterizations of quasi-regular relations are obtained and it is shown when an anti-order relation is quasiregular. Some nontrivial examples of quasi-regular relations are given. At the end we introduce dually ...

A new class of function spaces on domains of R^d and its relations to classical function spaces

New Relations

This work is part of an ongoing project, which focuses on the application of AR in Architecture and Urbanism and heritage studies seek to develop interactive multimedia platform and contents about historic buildings known as "Quarteirão dos Trapiches" on Laranjeiras, city of Sergipe State on Brazil. This project explores the potential of mobile applications to disseminate the architectural heri...

Normal forms for binary relations

We consider the representable equational theory of binary relations, in a language expressing composition, converse, and lattice operations. By working directly with a presentation of relation expressions as graphs we are able to define a notion of reduction which is confluent and strongly normalizing and induces a notion of computable normal form for terms. This notion of reduction thus leads ...

Quasi-transitive and Suzumura consistent relations

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunctio...