L-拓扑空间中O_s-δ连通性的进一步讨论

The further discussion of O_s-δ connectedness in L-topological spaces

对L-拓扑空间中Os-δ连通性的性质做了进一步讨论,证明了Os-δ连通性是δ-弱同胚不变性,特别是当F格L的最大元1是分子时,Os-δ连通性是L-好的推广,同时给出了Os-δ连通性的樊畿定理.从而,丰富了L-拓扑空间中的Os-δ连通性理论.

The properties of Os-δ connectedness were dicussed furtherly in L-topological spaces.It was proved that Os-δ connectedness was δ-weak homeomorphism.Especially,Os-δ connectedness was L-good extension when maximum 1 of L was molecular.Meanwhile,FanJi theorem of Os-δ connectedness was given.Therefore,the theories of Os-δ connectedness were enriched.