网的S-收敛理论

S-Convergence Theory of Nets

借助半闭L-集引入半闭远域、S-附着点、S-极限点、S-聚点的概念.证明了网N的所有S-极限点的并lim_sN和所有S-聚点的并ad_sN均是半闭L-集,网N的S-极限点一定是它子网T的S-极限点,网N的S-极限点和S-聚点在不定映射之下是保持的.

In this paper,semiclosed remote set,5-adherence point,5-limit point,5-cluster point are built by means of the concept of semiclosed L-sets. We proved that unions of all 5-limit points of net N and unions of all 5-cluster points of net are semiclosed L-set, respectively ; 5-limit point of net N is 5-limit points of it subnet T; under irresolute mapping 5-limit point and 5-cluster point of net N are hold.