I(L)值完全诱导空间

I(L)-Valued Completely Induced Topological Spaces

作者引入 I(L)值完全下半连续映射 ,研究其性质。利用 I(L)值完全下半连续映射定义I(L)值完全诱导空间 ,给出 I(L)值完全诱导空间的拓扑基的表达形式 ,证得两个 I(L)值完全诱导空间的映射是连续映射的充分必要条件 ,并建立了乘积空间的 I(L)值完全诱导空间与 I(L)

In this paper, we introduce and study the concept of I(L) valued completely lower semi continuous mappings; we define the I(L) valued completely induced topological spaces by using I(L) valued completely lower semi continuous mapping, give the base of I(L) valued completely induced topological space, study continuous mapping between two I(L) valued completely induced topological spaces and establish the conection between I(L) valued completely induced topological spaces of productive space and the productive space of I(L) valued completely induced topological spaces.