Urysohn′s Metrization Theorem on (L,Q,τ,σ)
Xueyou Chen · Journal of Hunan University · 2003
Deng Zi-ke and Chen Xue-you established respectively the De Morgan algebra of topology(L,Q,T) and the De Morgan algebra of bitopology(L,Q,τ,σ) on a completely distributive complete lattice with order reversing involution. (L,Q,T) and (L,Q,τ,σ) are the generalization of algebra of topology. This paper established the Urysohn′s metrization theorem on the De Morgan algebra of bitopology(L,Q,τ,σ), which is the extention of the Urysohn′s metrization theorem on the De Morgan algebra of topology. One of it′s special cases is the Urysohn metrization theorem on the traditional bitopological space.