Connected door spaces and topological solutions of equations
Connected door spaces and topological solutions of equations
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连通门空间和方程的拓扑解
DOI:
10.1007/s00010-018-0577-0
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发表时间:
2018-07
影响因子:
0.8
通讯作者:
Zhang Dong
中科院分区:
文献类型:
--
作者:
Wu Jianfeng;Wang Chunli;Zhang Dong
The connected door space is an enigmatic topological space in which every proper nonempty subset is either open or closed, but not both. This paper provides an elementary proof of the classification theorem of connected door spaces. More importantly, we show that connected door topologies can be viewed as solutions of the valuationand the equation. In addition, some special solutions, which can be regarded as a union of connected door spaces, are provided.
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