1) neighborhood base
邻域基
2) π-neighborhood base
π-邻域基
3) open neighbourhood base
开邻域基
1.
Neighbourhood system,open neighbourhood bases and bases in pre-topological spaces;
预拓扑空间的邻域系、开邻域基与基
4) locally nested basis of neighborhood
邻域套基
1.
In separable topological spaces or topological vector spaces ,the ex-istence of locally nested basis of neighborhood is equal with A_1 axiom A inseparable spacewhich has locally nested basis of neighborhood for each point of it but not obeyed with A_1 ax-iom has also been constructed.
该文给出一个无邻域套基的空间的例子，证明了在可分空间或拓扑向量空间中，邻域套基的存在性等价于Ａ＿１公理，并利用序数理论构造了一个非可分空间的例子，其中每点存在邻域套基但不满足Ａ＿１公理。
5) basic neighborhood
基本邻域
6) basic neighbourhood system
基础邻域系
补充资料：邻域
邻域
neighbourhood
邻域【.吨仙仪们.闭;0冲ec，Oc、}，拓扑空间中点x(集合A)的 该空间中含有点x(集合A)的任何开集.有时，该拓扑空间中任何集合，如果其内部含有点x(集合A)，也称为点x(集合A)的邻域(亦见集合的内部(interiorofaset)). B.A.nacHHK.撰胡师度、白苏华译
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