摘要
根据空间、时间与物质运动的不可分离性,论述了地物在时间过程中演化的必然性和普遍性。通过边界、闭包等拓扑学概念,指出了地物性质和外形变换必需满足的条件,进而给出了地物性质和外形变换的数学定义。根据覆盖空间的定义,阐释了地物Ai与其在地球椭球面上的投影Ui同胚的原理。由于每一个确定的Ai与Ui的一一对应性而必需选择Ai,从而解释了专题制图的产生机制。
According to non-separation of spatial,time and material motion,the necessity and geo-objects evolution in time are discussed.Through topologic concepts of boundary and elosure,transform conditions of property and appearance of geo-object are necessary.The mathematical definition of transform on property and appearance of geo-object is introduced.The definition of covering space explains the homeomorphism element of geo-object Ai and its projection on earth ellipsoid.As defined Ai and Ui belong to one-one mapping,so to select Ai,the produced mechamism of thematic mapping is explained.
出处
《桂林理工大学学报》
CAS
北大核心
2012年第4期528-531,共4页
Journal of Guilin University of Technology
基金
广西自然科学基金项目(桂科自0448037)
关键词
地物演化
边界
性质
异位点集
数学定义
覆盖空间
同胚
geo-object evolution
boundary
property
heter-location point set
mathematical definition
covering space
homeomorphism
