More On The Set Function Κ

In 1948 F.Burton Jones firstly gave the concept of set-valued functions which including K,T,etc.He did some basic studies on K and got several good results.It's very useful for the resarch on the other set-value functions.Later in 1981,David P.Bellamy and Lewis Lum defined the set function R to study arcwise connected homogeneous continua.All these work makes mathematician have more choices on the study of aposyndesis and local connectivity.Though much more work have been done on the resarch of T and,the work on K is not too much.We study the relationship between K and locally connectivity,aposyndetic,and connected im kleinen,then do some tries on the application of K.