We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.
然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。
The theory of the quotient space is a new mathematical tool for the study of the different granularity world.
商空间理论是研究不同粒度世界的一种新的数学工具。
In this paper, the relationship between theory of fractal geometry and theory of quotient space is discussed and a new model which combines the character of granularity and fractal is put forward.
本文讨论分形几何与商空间理论的关系，提出商分形的概念，并讨论分形图的逼近与商空间粒度计算之间的关系。
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