LF拓扑空间的商空间的同胚  

On Homeomorphism of Quotient Spaces of LF Topological Spaces

作　　者：许兆龙 

机构地区：[1]抚州师范专科学校数学与计算机科学系,江西抚州344000

出　　处：《抚州师专学报》2002年第2期1-3,共3页Journal of Fuzhou Teachers College

摘　　要：利用满映射 :f:X→Y诱导的L值Zadeh型画数f:LX→LY和LF拓扑空间(LX,δ)构造商空间(LY,μ);又由f建立X上等价关系～,得出自然投射P:X→X/～.再利用P诱导的L值Zadeh型函数P:LX→LX/～和(LX,δ)构造商空间(LX/～,μ),证明了两商空间同胚.Abstract: A quotient space （Ly ,μ） is made use of by a L value Zadeh formal function f:Lx→ LY induced by a surjection f:X→Y and LF topological space (LX ,δ) ;Because of setting up an equivalence relation ~ over X by f a natrue projection P:X→X/~ is gotten; A quotient space(Lx/~ ,μ＊ ) is made use of by a L value Zadeh formal function P:Lx→Lx/~ induced by P and (Lx,δ). It shows that the two LF topological quotient spaces are homeomorphism.

关 键 词：LF拓扑空间 商空间 同胚 满映射 ZADEH型函数 序同态 保并映射 

分 类 号：O189.13[理学—数学]