We give some concepts of different locally countable compact space and locally countable paracompact space,discuss their natures,and give some results as every closed subset in countable paracompact space is countable paracompact )If topological space is a neighborhood open locally countable paracompact space, is any open set of,then is a neighborhood open locally countable paracompact subspace.
文章给出了几种类型局部可数紧空间和几种类型局部可数仿紧空间的概念,讨论了它们的一些性质,给出可数仿紧空间的每一闭子集都是可数仿紧的;若拓扑空间X是邻域开包局部可数仿紧空间,A是X中任一开集,则A是邻域开包局部可数仿紧子空间等一些有益的结果。
We give some concepts of different locally countable compact space and locally countable paracompact space,discuss their natures,and give some results as every closed subset in countable paracompact space is countable paracompact )If topological space is a neighborhood open locally countable paracompact space, is any open set of,then is a neighborhood open locally countable paracompact subspace.
文章给出了几种类型局部可数紧空间和几种类型局部可数仿紧空间的概念,讨论了它们的一些性质,给出可数仿紧空间的每一闭子集都是可数仿紧的;若拓扑空间X是邻域开包局部可数仿紧空间,A是X中任一开集,则A是邻域开包局部可数仿紧子空间等一些有益的结果。