Strong Semi-normal Absolutely Closed Nature In Topological Space And Connection In Fuzzifying Bitopological Space

The paper is made up of two relatively independent eassayes: One is Equivalence of the First Countable Strong Semi-normal Absolutely Closed Spaces in classical topological spaces.Another is Connection in Fuzzifying Bitopological Spaces in fuzzy topological spaces.Now,content of eassayes is simply related as follows:(一) In classical topological spaces,let P be some topological nature,a P -space X is called P -absolutely closed,if X is closed subspace of Y ,when X is inserted every P -space Y .several topologists had discussed problems of P-absolutely closed equivalence and P-closed extend in the paper [1],[2],[3],[4],[ 5],when P is the first countable T₂,the first countable zero dimension,the first countable complete regularity,the first Countable Urysohn,the first countable weekly regularity. The paper disscusses equivalent problems of the first countable strong semi-normal absolutely closed spaces,get a few good results.(二) In 1991,scholar Ying Ming sheng bringed up fuzzifying topological spaces form a various logic angle.Afterwards,lots of scholar are in progress wide and profound study,get some active fruit.The paper puts forward fuzzifying bitopological spaces and connected concept in fuzzifying bitopological spaces,discusses equivalent conditions and character of connection in fuzzifying bitopological spaces.