Representatives for Finite Sets

Representatives for Finite Sets

This paper considers a combinatorial problem by M. B. Nathanson [ 1 ], concerning simultaneous systems of representatives for two families of finite sets.

FUZZY ORDERED SETS AND DUALITY FOR FINITE FUZZY DISTRIBUTIVE LATTICES

The starting point of this paper is given by Priestley’s papers, where a theory of representation of distributive lattices is presented. The purpose of this paper is to develop a representation theory of fuzzy distributive lattices in the finite case. In this way, some results of Priestley’s papers are extended. In the main theorem, we show that the category of finite fuzzy Priestley space...

Systems of sets and their representatives

fuzzy ordered sets and duality for finite fuzzy distributive lattices

the starting point of this paper is given by priestley’s papers, where a theory of representation of distributive lattices is presented. the purpose of this paper is to develop a representation theory of fuzzy distributive lattices in the finite case. in this way, some results of priestley’s papers are extended. in the main theorem, we show that the category of finite fuzzy priestley space...

Fréchet-urysohn for Finite Sets

E. Reznichenko and O. Sipacheva called a space X “FréchetUrysohn for finite sets” if the following holds for each point x ∈ X: whenever P is a collection of finite subsets of X such that every neighborhood of x contains a member of P , then P contains a subfamily that converges to x. We continue their study of this property. We also look at analogous notions obtained by restricting to collectio...