Ωδ-convergence theory in lω-spaces

Shui-li Chen

Yun-dong Wu

Guo-rong Cai

pp. 315-323

in: Bing-yuan Cao, Cheng-yi Zhang, Tai-fu Li (eds), Fuzzy information and Engineering I, Berlin, Springer, 2009

Abstract

In this paper, the ωδ-convergence theory of nets and ideals in Lω-spaces is established. By means of the ωδ-convergence theory, some important characterizations with respective to the ωδ-closed sets and (ω ₁, ω ₂)δ-continuous mappings are obtained. Moreover, the mutual relationships between ωδ-convergence of molecular nets and ωδ-convergence of ideals are given.