拓扑分子格上最细伴随余拓扑的刻划  

Characterizations of the Finest Accompanied Co-Topology on Topological Molecular Lattices

作　　者：方进明[1] 刘刚[1] 岳跃利[1] 

机构地区：[1]青岛海洋大学数学系,青岛266003

出　　处：《青岛海洋大学学报（自然科学版）》2002年第1期159-164,共6页Journal of Ocean University of Qingdao

基　　金：山东省自然科学基金课题 (Q99A 0 2 )资助

摘　　要：该文选用恰当的闭包算子 ,对给定的拓扑分子格 (L,η)中 η的最细伴随余拓扑 F(η)进行刻划 ;其次刻划了拓扑分子格中无处稠密元 ,讨论无处稠密元、半闭包算子和半内部算子之间的关系 ,特别引入了半同胚的概念 ,并证明无处稠密性是半同胚性质。In this paper the authors choose an appropriate closure operation and give a closure representation of η 's finest accompanied co-topology F(η) for a given topological molecular lattice (L,η). Then the authors study several important properties of nowhere dense elements, particularly introduce the definition of semi-homeomorphism, and prove that nowhere dense property is one of semi-homeomorphism properties.

关 键 词：余拓扑 拓扑分子格 半闭元 闭包 闭包算法 无外稠密元 模糊拓扑 

分 类 号：O189.13[理学—数学]