论文标题
关于拓扑空间共元的一些问题
Some problems about co-consonance of topological spaces
论文作者
论文摘要
在本文中，我们首先证明了辅音空间（或共同空间）的缩回是辅音（共声）。使用此结果，已经获得了一些相关的结果。同时，我们证明了（1）Smyth Powerspace的共和度意味着在必要条件下拓扑空间的共和度； （2）拓扑的共元意味着在某些条件下，Smyth Powerspace的共和度； （3）如果较低的权力空间是共同的，则拓扑空间是共同的； （4）共同的共和度意味着下功率空间与某些足够条件的共和度。
In this paper, we first prove that the retract of a consonant space (or co-consonant space) is consonant (co-consonant). Using this result, some related results have obtained. Simultaneously, we proved that (1) the co-consonance of the Smyth powerspace implies the co-consonance of a topological space under a necessary condition; (2) the co-consonance of a topological implies the co-consonance of the smyth powerspace under some conditions; (3) if the lower powerspace is co-consonant, then the topological space is co-consonant; (4) the co-consonance of implies the co-consonance of the lower powerspace with some sufficient conditions.
