The Closeness of the τ-Standard Part of a Set

In this paper,the closeness of the τ-standard part of a set is discussed.Some related propositions of the τ-neighborhood system of a set are given.And then some related conclusions of the τ-monad of a set and the τ-standard part of a set are presented.And based on it,the necessary and sufficient conditions of the enlarged model and the saturated model are showed.Finally,some sufficient conditions that the τ-standard part of a set is closed are proved in the enlarged model and the saturated model.

T-极限空间范畴的笛卡儿闭性

本文在完备MV-代数的格值环境下,基于T-滤子定义了一种格值收敛空间,即,T-极限空间,并且证明了T-极限空间范畴是拓扑的且具有笛卡儿闭性。同时本文还研究了T-极限空间范畴与其子范畴之间的关系。