CAJ | 학술논문

利用范畴论中范畴与函子的概念，定义了动力系统范畴T到包络半群范畴E的共变函子F1及范畴丁到范畴E＊的反变函子F2，并分别讨论了范畴丁中乘积系统的包络半群与范畴E中包络半群直积的一致性及范畴T中逆极限系统的包络半群与范畴E中包络半群逆极限的一致性．
이용범주론중범주여함자적개념，정의료동력계통범주T도포락반군범주E적공변함자F1급범주정도범주E＊적반변함자F2，병분별토론료범주정중승적계통적포락반군여범주E중포락반군직적적일치성급범주T중역겁한계통적포락반군여범주E중포락반군역겁한적일치성．
AbIn this paper, we define a covariant functor F1 from the category of dynamical system T to the category of enveloping semigroup E and a contravariant functor F2 from the category T to the category E＊ by means of the concepts of category and functor in categorical theory. In addition, the questions are discussed whether the enveloping semigroup of product space in the category T is equal to the product of the enveloping semigroups in the category E and the enveloping semigroup of inverse limit space in the category T is equal to the inverse limit of the enveloping semigroups in the category E.