If R is a family of relations on X to Y, U is a family of relations on P (X) to Y, and V is a family
of relations on P (X) to P (Y), then we say that R is an ordinary relator, U is a super relator …

Proofs - EJMS-1905099 Page 1 Earthline Journal of Mathematical Sciences ISSN (Online):
2581-8147 Volume 2, Number 2, 2019, Pages 283-323 https://doi.org/10.34198/ejms.2219.283323 …

A subset R of a product set is called a relation on X to Y. While, a function U of one power set
P (X) P (X) to another P (Y) P (Y) is called a corelation on X to Y. Moreover, families RR and …

By using the closure–interior Galois connection and the box product of relations, we show
that the duals of some of our former theorems on the relational equation R= G− 1◦ S◦ F and …

Having in mind Galois connections, we establish several consequences of the following
definitions. An ordered pair X (≤)=(X,≤) consisting of a set X and a relation≤ on X is called …

Tech. Rep., Inst. Math., Univ. Debrecen 2014/1, 32 pp. GENERALIZATIONS OF GALOIS
AND PATAKI CONNECTIONS TO RELATOR SPACES 1. A f Page 1 Tech. Rep., Inst. Math …

In 1962, WJ Pervin proved that every topology TT on a set X can be derived from the quasi-
uniformity UU on X generated by the preorder relations with A∈ TA ∈ T. Thus, a quasi …

A UNIFYING FRAMEWORK FOR STUDYING CONTINUITY, INCREASINGNESS, AND GALOIS
CONNECTIONS 1. Introduction In this paper, by continuin Page 1 A UNIFYING FRAMEWORK …

This is a research proposal for those who are interested in the unification of several
continuity-like properties of functions and relations in the framework of relator spaces. For …

A natural Galois connection between generalized norms and metrics Page 1 Acta Univ.
Sapientiae, Mathematica, 9, 2 (2017) 360–373 DOI: 10.1515/ausm-2017-0027 A natural Galois …