几种弱形式连续映射的网式刻画

The characterization of several weak forms of continuous mappings by nets

在一般拓扑空间中,以远域为工具引入和研究网的S-收敛性、θ-收敛性、δ-收敛性等概念,并利用这些概念给出半连续映射、弱连续映射和几乎连续映射的一些等价条件.

In this paper, the notions of convergence, convergence and convergence of netson general topological spaces are introduced and studied by means of r- neighborhood. Through these concepts, some equivalent characterizations with respect to semi - continuous , weakly continuous and almost continuous mappings are given.