CAJ | 학술논문

根据拓扑映射的定义，指出了“刺孔球面”（S2-｛z｝）与二维平面R2的同胚性质。从有限闭区间及其彼此等势的拓扑学原理，推出f（A）为非空集。f（A）的边界是二维平面上的约当闭曲线，约当闭曲线的任意性，使得f（A）可以在拓扑变换下变形为任意的形状，构造多种多样的投影网格。以若干实例说明了拓扑映射ff1、f2的实现方法。
근거탁복영사적정의，지출료“자공구면”（S2-｛z｝）여이유평면R2적동배성질。종유한폐구간급기피차등세적탁복학원리，추출f（A）위비공집。f（A）적변계시이유평면상적약당폐곡선，약당폐곡선적임의성，사득f（A）가이재탁복변환하변형위임의적형상，구조다충다양적투영망격。이약간실례설명료탁복영사ff1、f2적실현방법。
According to the definition of topological mapping,the quality of homeomorphism of sting-out sphere (S2 -{z})is put up with two-dimensional plane R2 .The f(A)is deduced as a nonempty set according to the topologic principles of finite closed interval and equipollence to each other.The boundary of f(A)is a Jordan closed curve on 2D plan.With the randomicity of Jordan closed curve and different topologic transform rules,f (A)can be random shape and construct various projection grids.The new method of ff1 ,f2 function is showed by examples.