可数良紧集的刻画与性质

CHARACTERIZATIONS AND PROPERTIES OF COUNTABLY N-COMPACT SETS

本文借助于 α-序列 ,α-局部有限族及 α- - ω聚点等概念给出了可数良紧集的一些等价刻画 ,进而讨论了可数良紧集在 L值 Zadeh型函数下的逆不变性 。

In this paper, we present characterizations of countably N compact set by means of the concepts of α sequence, α locally finite family of fuzzy sets and α - ω accumulation point. We discuss inverse invarant property of countably N compact set under L Zadeh type function. We prove that product of a N compact set and a countable N ompact set is countable N compact set.