The term topology also refers to a specific mathematical idea central to the area of mathematics called topology. Informally, a topology describes how elements of a set relate spatially to each …

拓扑学 (topology)，是研究几何图形或空间在连续改变形状后还能保持不变的一些性质的学科。 它只考虑物体间的位置关系而不考虑它们的形状和大小。 在拓扑学里，重要的拓扑性质包括连 …

Topology, while similar to geometry, differs from geometry in that geometrically equivalent objects often share numerically measured quantities, such as lengths or angles, while topologically …

Introduction to Topology Course Description This course introduces topology, covering topics fundamental to modern analysis and geometry.

Topology is the study of properties of geometric spaces which are preserved by continuous deformations (intuitively, stretching, rotating, or bending are continuous deformations; tearing …

Topology underlies all of analysis, and especially certain large spaces such as the dual of L1(Z) lead to topologies that cannot be described by metrics. Topological spaces form the broadest …

Topology is the qualitative study of shapes and spaces by identifying and analyzing features that are unchanged when the object is continuously deformed — a “search for adjectives,” as Bill …

拓撲學 （英語： Topology，也作 拓樸學[1] 、意譯 位相幾何學）是一門研究 拓撲空間 的領域，主要研究空間內在 連續變化 [註 1] 下維持不變的性質。 在拓撲學裡，重要的拓撲性質包括 連通 …

Dec 22, 2025 · Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed.

Nov 9, 2012 · The meaning of TOPOLOGY is topographic study of a particular place; specifically : the history of a region as indicated by its topography. How to use topology in a sentence.