1) 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。
2) 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。
3) 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。
4) L-smooth semi-open sets
r-半开集
5) r Open(Closed) Set
r开(闭)集
6) LF-open(closed) set
LF-r开(闭)集
补充资料：开集
开集
open set
开集【雌..就;。了盆p‘noe姗。欲cT加]，拓扑空间中的 该空间的拓扑(见拓扑结构(拓扑)(t俄力吻灿1sto义t理re(tQI扣10gy)))的一个元素.更明确地说，设拓扑空间(X，动的拓扑;定义为集X的子集系T，使得l)X任:，必‘T;2)如果o，。:，i二l，2，则0，自0:“;;3)如果o二任T，:〔级，则U{0:::“吸}e:.于是，空间(X，:)中的开集(openset)就是拓扑:的元素，并且只是这些元素. E .A.nacb几王K.撰
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