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

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.