局部强序列连通空间

Locally Strongly Sequentially Connected Spaces

讨论了保聚映射的一些性质,证明了保聚映射保持强序列连通性;并定义了局部强序列连通空间,证明了商映射保持局部强序列连通空间以及局部强序列连通性具有开遗传性和有限可积性;还给出了一些相关的刻画及其性质。

In this paper some basic properties of keeping accumulation maps are discussed. It is shown that strongly sequentially connected spaces are kept by keeping accumulation maps. Locally strongly sequentially connected spaces are introduced in this paper. The paper also explains that they are kept by quotient maps and are of hereditary to open subspaces. The paper presents some properties of locally strongly sequentially connected spaces.