Word · Frequency #29554
topology
拓扑学
the branch of mathematics that studies properties of geometric figures which remain unchanged under continuous deformations, such as stretching or bending.
- 1.
The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
数学分支,研究几何对象在连续变形下保持不变的性质。
- 2.
Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
给定集合X的子集族,包含空集和X,并对有限交集和任意并集封闭。
- 3.
The anatomical structure of part of the body.
身体某部分的解剖结构。
- 4.
The arrangement of nodes in a communications network.
通信网络中节点的排列方式。
- 5.
The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
特定技术实现中不受物理布局或应用形式差异影响的特性。
- 6.
The topographical study of geographic locations or given places in relation to their history.
对地理位置或特定地方及其历史的地形学研究。
地志学；数学分支,研究几何对象在连续变形下保持不变的性质。；给定集合X的子集族,包含空集和X,并对有限交集和任意并集封闭。；身体某部分的解剖结构。；通信网络中节点的排列方式。
In use
In topology, a doughnut and a coffee cup are considered the same because they both have one hole.
Our professor introduced topology as the study of properties that remain unchanged when an object is stretched, bent, or twisted.
For her project, she explored how topology helps mathematicians understand the structure of space beyond ordinary measurements.
the topology of [something]
用于说明某事物（如网络、区域）的结构或布局。
The topology of the network affects how data flows.
网络的拓扑结构影响数据的流动方式。
in [field]
in + 学科名，表示在该学科领域内；此处 topology 为不可数名词，不加冠词。
In topology, a circle and a square are equivalent.
在拓扑学中，圆和正方形是等价的。
Connections
Collocations
- network topology
- 网络拓扑结构
- The network topology determines how the computers and devices are connected.网络拓扑结构决定了计算机和设备如何连接。
- algebraic topology
- 代数拓扑学
- Algebraic topology uses algebraic methods to study topological spaces.代数拓扑学使用代数方法研究拓扑空间。
- star topology
- 星型拓扑结构
- In a star topology, every device connects to a central hub.在星型拓扑结构中，每台设备都连接到中央集线器。
- bus topology
- 总线拓扑结构
- A bus topology uses a single cable to connect all nodes.总线拓扑结构使用单根电缆连接所有节点。
- mesh topology
- 网状拓扑结构
- A mesh topology provides redundant paths between devices.网状拓扑结构为设备之间提供冗余路径。
Learner notes
Memory Tip
把topo联想成“土坡”，拓扑学就像研究橡皮泥图形的性质：随便拉伸扭曲，洞的数量不变。
Context & Register
语域：formal 常见场景：mathematical textbooks and lectures、computer network engineering、historical geography studies topology 通常用于正式、学术或专业技术语境，多出现在数学教材、计算机网络文档和历史地理文献中；日常口语中比较少见。
Grammar Note
作“拓扑学/地志学”等学科、领域讲时通常不可数；指某个集合或网络的具体拓扑结构时可数，复数为 topologies。
Pronunciation & Spelling
以上单词都以 -ology 结尾，重音在 /ɒl/ 上，与 topology /təuˈpɒlədʒi/ 押韵。注意拼写相似的 topography /təˈpɒɡrəfi/（地形学）以 /ɡrəfi/ 结尾，读音不同，不押韵。
Learn the forms together
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from ECDICT, WIKTIONARY.