S连通空间及其性质

S-connected Space and Its Quality

给出了拓扑空间是S连通空间的几个等价刻画，同时讨论了S连通子集及其性质，连通序列空间与S连通空间的性质，证明了拓扑空间X是S连通空间则X是连通序列空间的连续映象，连通序列空间的序列连续映象，连通序列空间的连续序列覆盖映象．

We discuss topology space is several tantamount scores of S-connectedness, at the same time we also argue S-connected subset and its quality. And we point out the quality of the sequential space and connected space. We gain the results as follows： X is S-connected space, then X is an image of a connected sequential space under a continuous mapping, and X is an image of a connected sequential space under a sequential continuous mapping, and X is a image of a connected sequential space under a continuous sequential covering mapping.