V2EX topological

Topological

释义 Definition

topological(拓扑的):指与拓扑学有关的,强调事物在连续变形(如拉伸、弯曲)下保持不变的性质与结构关系,而不关注精确长度、角度等度量细节。(在数学、物理、计算机科学中常见;另有更专业的延伸义。)

发音 Pronunciation (IPA)

/tpldkl/

例句 Examples

A donut and a coffee mug are topological equivalents.
甜甜圈和咖啡杯在拓扑意义上是等价的。

The proof relies on topological arguments that remain valid under continuous deformation, linking local behavior to global structure.
这个证明依赖于拓扑论证:在连续变形下依然成立,并把局部性质与整体结构联系起来。

词源 Etymology

来自 topology(拓扑学) + 形容词后缀 -ical。而 topology 源于希腊语词根 **topo-**(“地方、位置”)与 -logy(“学科、研究”),最初指对“空间/位置关系”的研究,后来在数学中发展为研究连续性与空间结构不变量的分支。

相关词 Related Words

文学与著作中的用例 Works & Literature

  • Stephen Hawking & George Ellis,《The Large Scale Structure of Space-Time
  • James R. Munkres,《Topology
  • Michael A. Armstrong,《Basic Topology
  • Allen Hatcher,《Algebraic Topology
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