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S连通空间及其性质
引用本文:周景新,欧阳军. S连通空间及其性质[J]. 北华大学学报(自然科学版), 2007, 8(2): 97-100
作者姓名:周景新  欧阳军
作者单位:北华大学,理学院,吉林,吉林,132033;北华大学,理学院,吉林,吉林,132033
摘    要: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.

关 键 词:S连通空间  序列开集  序列空间
文章编号:1009-4822(2007)02-0097-04
收稿时间:2006-11-21
修稿时间:2006-11-21

S-connected Space and Its Quality
ZHOU Jing-xin,OUYang Jun. S-connected Space and Its Quality[J]. Journal of Beihua University(Natural Science), 2007, 8(2): 97-100
Authors:ZHOU Jing-xin  OUYang Jun
Abstract: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.
Keywords:S-connected space  Sequentially open set  Sequential space
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