1) compact-star F~k-refinement
紧式星形F~k-加细
1.
In first induce a lemma, secondly give some similar characterization of mesocompact mapping by directional open set family, semi-open refinement, closure-preserving refinement, compact w-refinement, compact-star refinement and compact-star F~k-refinement.
首先引入了一个引理,然后给出紧式星形加细、闭包保持闭加细和紧式w-加细的等价刻划定理,最后利用定向开集族、半开加细、闭包保持闭加细、紧式w-加细、紧式星形加细和紧式星形F~k-加细刻划了中紧映射,这也是本文的重点。
2) compact star refinement
紧式星形加细
1.
And mesocompact maps are not only characerized by directional open covers,mesocompact maps are but also characterized by closure-preserving closed refinements,compact star refinements,compact w-refinement,compact star refinements.
引入了中紧映射后,先研究并证明了一个引理,再证明了几个概念在闭映射的条件下的等价刻画,最后不仅利用定向开覆盖刻划了中紧映射,还利用闭包保持闭加细,紧式星形加细,紧式w-加细和紧式星形Fk-加细等进一步刻划了中紧映射,拓展了拓扑空间范畴到拓扑空间范畴的映射。
3) compact star refinements
紧式星形Fk-加细
1.
And mesocompact maps are not only characerized by directional open covers,mesocompact maps are but also characterized by closure-preserving closed refinements,compact star refinements,compact w-refinement,compact star refinements.
引入了中紧映射后,先研究并证明了一个引理,再证明了几个概念在闭映射的条件下的等价刻画,最后不仅利用定向开覆盖刻划了中紧映射,还利用闭包保持闭加细,紧式星形加细,紧式w-加细和紧式星形Fk-加细等进一步刻划了中紧映射,拓展了拓扑空间范畴到拓扑空间范畴的映射。
4) compact w-refinement
紧式w-加细
1.
In first induce a lemma, secondly give some similar characterization of mesocompact mapping by directional open set family, semi-open refinement, closure-preserving refinement, compact w-refinement, compact-star refinement and compact-star F~k-refinement.
首先引入了一个引理,然后给出紧式星形加细、闭包保持闭加细和紧式w-加细的等价刻划定理,最后利用定向开集族、半开加细、闭包保持闭加细、紧式w-加细、紧式星形加细和紧式星形F~k-加细刻划了中紧映射,这也是本文的重点。
2.
And mesocompact maps are not only characerized by directional open covers,mesocompact maps are but also characterized by closure-preserving closed refinements,compact star refinements,compact w-refinement,compact star refinements.
引入了中紧映射后,先研究并证明了一个引理,再证明了几个概念在闭映射的条件下的等价刻画,最后不仅利用定向开覆盖刻划了中紧映射,还利用闭包保持闭加细,紧式星形加细,紧式w-加细和紧式星形Fk-加细等进一步刻划了中紧映射,拓展了拓扑空间范畴到拓扑空间范畴的映射。
5) the sequence of compact θ-refinement
紧式θ-加细序列
6) the sequence of compact W-refinement
紧式W-加细序列
补充资料：序列紧空间
序列紧空间
sequentially-compact space
序列紧空间tse叫即间y一阴户d月，份;~.，翻叨。卜幻Mll阶仙e npocTp哪佃l 一个拓扑空间，它的所有无限点序列都包含有一个收敛的子序列(BO如no一W七iers饥璐条件(Bolza力0-weierstJ艺55 condition)).在T，空间类中，序列紧空间是列紧的(见列紧性(colllpactn已治，countable)).而且，如果此空间满足第一可数公理(俪ta规m ofco-切ltability)(亦见基(饮巧e))，则其列紧性意味着它是序列紧的.序列紧空间不必是紧空间;例如，小于第一个不可数序数的所有序数的集合，赋予的拓扑是“其基是所有开区间的集合”. M.H.BohaexoBc取丽撰【补注】有些作者认为，BOI左no一叭几记招位比条件是指每个无限集都有一个聚点(a哎1瞅dation point)，在T!空间类中这等价于列紧性. 可数多个序列紧空间的乘积是序列紧的.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条