1) r-preopen sets
r-预开集
1.
The concepts of L-smooth precontinuous mappings,precontinuous-open mappings and precontinuous-closed mappings are introduced by means of r-preopen sets and r-preclosed sets in L-smooth topological spaces.
在L-smooth拓扑空间中利用L-smoothr-预开集与r-预闭集引入了L-smooth预连续映射、L-smooth预连续开映射及L-smooth预连续闭映射的概念,同时,给出了它们的等价刻画。
2) r-preclosed sets
r-预闭集
1.
R-preopen sets、r-preclosed sets、r-preinterior and r-preclosure are defined in L-smooth topological spaces,some of their basic properties are studied.
文章定义了L-sm ooth拓扑空间中的r-预开集、r-预闭集、r-预内部、r-预闭包,研究了它们的一些基本性质。
3) LF-r open set
LF-r开集
1.
The relationships between general topological space and its induced space, weak induced space and its base space are discussed; r-connectivity is defined by use of LF-r open set.
利用LF-r开集定义了r连通性,得出了弱诱导的LF拓扑空间是r连通的当且仅当其底空间是r连通的,并且分析(弱)诱导空间的结构。
4) L-smooth semi-open sets
r-半开集
5) r-open set
r-开集
1.
Meanwhile,its some good characterizations such as finite join-preserving and that the intersection of an r-compact set and an r -closed set is fuzzy compact,the r-continuous image of an r-compact set is r-compact,are presented by means of r-open sets.
同时利用r-开集研究了它的一些好的性质,比如保有限并、闭遗传性、连续像保持,并给出了它的一些特征。
6) r Open(Closed) Set
r开(闭)集
补充资料：预解集
预解集
resolvent set
预解集[re刻v以喊;pe3o，‘“e盯Hoe M.o搜ecT.o」 满足以下条件的复数公的集合p(T)，其中T是B赶幻日‘h空间中X的一个算子，对这种z存在X中有界且有稠定义域的算子R:二(T一:I)一’.预解集的补集是算子T的谱(见算子的谱(spectn卫n ofanoperator)).【补注】z‘C是在T的预解集中，如果T一21的值域是稠密的且T一21有一个连续的逆.此逆通常用R(鱿T)表示且它称为T(在z处)的预解式(resolvenl).
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