摘要
θ-连通空间是比连通空间更广泛的一类空间,在前人的研究基础之上得到了局部θ-连通空间的充分必要条件,证明了局部θ-连通空间在商映射下是不变的,同时也得到了和空间⊕a∈Aα∈AXα与乘积空间∏s∈SXs是局部θ-连通空间的充分必要条件.
Every local connected space is local θ-connected space. And some sufficient and essential conditions of local θ-connected space are obtained based on previous research. It is also shown that local θ-connectedness is an invariant of quotient mappings. It also obtained that the sufficient and essential conditions of the sum space α∈AXα and the Cartesian product Пs∈SX8 are local θ-connected spaces.
出处
《纯粹数学与应用数学》
CSCD
2013年第4期359-363,共5页
Pure and Applied Mathematics
基金
北京市教育委员会科技计划面上项目(Z2011-008)
