摘要
It is proved in this paper that there is a bijection φ from J∪J to δ∪δ′which satisfies：（1）φ｜J：（J,belong to）→（δ′,≤）is a frame isomorphism;（2）φ｜J^′：（J^′,belong to）→（δ＇,≤）is a coframe isomorphism,where J is the ordinary topology on[0,1],δis the ordinary L-topology on L-unit interval I（L）,and L is a frame with an order-reversing involution.This result improves Theorem 3 in Hutton＇s paper.
It is proved in this paper that there is a bijection φ from J∪J to δ∪δ′which satisfies：（1）φ｜J：（J,belong to）→（δ′,≤）is a frame isomorphism;（2）φ｜J^′：（J^′,belong to）→（δ＇,≤）is a coframe isomorphism,where J is the ordinary topology on[0,1],δis the ordinary L-topology on L-unit interval I（L）,and L is a frame with an order-reversing involution.This result improves Theorem 3 in Hutton＇s paper.
基金
Foundation item： the National Natural Science Foundation of China （No. 10271069）.
