Topology - Wikipedia
Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing ...
Topology | Types, Properties & Examples | Britannica
2024年11月21日 · topology, branch of mathematics, sometimes referred to as “rubber sheet geometry,” in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending, twisting, stretching, and shrinking while disallowing tearing apart or gluing together parts.
拓扑学（数学学科）_百度百科
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通性与紧致性。
Topology -- from Wolfram MathWorld
2024年12月18日 · Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.
拓扑（数学术语）_百度百科
拓扑学（Topology）原名叫做位置分析（Analysis situs），是研究图形（或集合）在连续变形下的不变的整体性质的一门几何学。 [1] 它只考虑物体间的位置关系而不考虑它们的形状和大小。
拓扑学 - 维基百科，自由的百科全书
在數學裡，拓撲學（英語： Topology ）也可寫成拓樸學 [1] ，或意譯為位相幾何學，是一門研究拓撲空間的學科，主要研究空間內，在連續變化 [註 1] 下維持不變的性質。
Introduction to Topology | Mathematics | MIT OpenCourseWare
This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.
What is Topology? | Pure Mathematics - University of Waterloo
Topology studies properties of spaces that are invariant under any continuous deformation. It is sometimes called "rubber-sheet geometry" because the objects can be stretched and contracted like rubber, but cannot be broken. For example, a square can be deformed into a circle without breaking it, but a figure 8 cannot.
(Discrete topology) The topology defined by T:= P(X) is called the discrete topology on X. (Finite complement topology) Define Tto be the collection of all subsets U of X such that X U either is finite or is all of X.
TOPOLOGY中文(简体)翻译：剑桥词典 - Cambridge Dictionary
Globalization and the rise of information technology have changed the topology of the corporation. 全球化和信息技术的崛起改变了公司的构造。 ( topology 在 剑桥英语-中文（简体）词典 的翻译 © Cambridge University Press)
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