时变拓扑

TIME-VARYING TOPOLOGY

在时空复合的基础上提出了复合图层拓扑和时变拓扑的概念 .复合图层拓扑扩展了时空复合对空间拓扑的意义 ,并证明复合图层拓扑的静态空间拓扑表达能力和静态图层拓扑一样强 .时变拓扑是对复合图层拓扑的扩展 ,它的意义在于显式地表达了空间对象在时间上的拓扑变化特性 .这种形式化的拓扑变化描述构成了一个基本的、完备的拓扑变化表达能力 .

In this paper, the concept of composite layer topology and time varying topology is proposed on the basis of space time composition. Composite layer topology expands the sense of space time composition to spatial topology, and proves that the static spatial topology representation capability of composite layer topology is as strong as that of static layer topology. Time varying topology is an expansion of composite layer topology, which can explicitly represent topology change of spatial entity over time dimension. This formal representation of topology change forms a fundamental and complete representative capability for time varying topology.