| LF 拓扑空间的局部良紧性 |
| |
| 引用本文： | 李生刚.LF 拓扑空间的局部良紧性[J].陕西师范大学学报,1991(4). |
| |
| 作者姓名： | 李生刚 |
| |
| 作者单位： | 陕西师大学院数学系 |
| |
| 摘 要： | 本文中约定,对每个A∈L~Y,(Y■X),x~A表示A在X上这样的扩张:■x∈X-Y,x~A(x)=0,无特别说明时所说的空间均指LF拓扑空间,所用到的一些术语和记号与文1]一致.定义1称(L~x,δ)是i-型局部良紧空间(简称i-LNCS),(i=1,2,3,4,5,6),是指它满足下面的条件(i):
|
The local N-compactness in LF topological spaces |
| |
| Li Shenggang.The local N-compactness in LF topological spaces[J].Journal of Shaanxi Normal University: Nat Sci Ed,1991(4). |
| |
| Authors: | Li Shenggang |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | Six kinds of local N-compactness in LF topological spaces are defined, and the relationships among them are discussed.That four of them are both open hereditary and closed hereditary,and the rest two is not open hereditary but closed hereditary are proved.Finally,the invariance of local N-compactness under open Order-homomorphisms which preserves N-compact set,the invariance and inverse invariance of local N-compactness under fuzzy perfect mappings are discussed. |
| |
| Keywords: | i-local N-compact spaces for 1=1 2 3 4 5 6 open hereditary closed hereditary perfect invariance perfect inverse invariance |
| 本文献已被 CNKI 等数据库收录！ |
|
