1
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。
拓扑学
先理解核心含义，再看它在真实句子里的用法。
拓扑学
the branch of mathematics that studies properties of geometric figures which remain unchanged under continuous deformations, such as stretching or bending.
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。
数学分支,研究几何对象在连续变形下保持不变的性质。
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).
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。
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.
身体某部分的解剖结构。
The anatomical structure of part of the body.
通信网络中节点的排列方式。
The arrangement of nodes in a communications network.
In topology, a doughnut and a coffee cup are considered the same because they both have one hole.
在拓扑学中，甜甜圈和咖啡杯被认为是一样的，因为它们都有一个洞。
Our professor introduced topology as the study of properties that remain unchanged when an object is stretched, bent, or twisted.
教授把拓扑学介绍为研究物体在拉伸、弯曲或扭曲时保持不变的性质的学科。
For her project, she explored how topology helps mathematicians understand the structure of space beyond ordinary measurements.
她在这个项目中探讨了拓扑学如何帮助数学家理解超越普通测量的空间结构。
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 + 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。
Not this
The topology structure of this network is a ring.
Use this
The topological structure of this network is a ring.
“拓扑结构”在英语中应用形容词 topological 修饰 structure，topology 是名词，不能直接作定语修饰 structure，说 topology structure 是中式表达。
Not this
There are many topology to study in graph theory.
Use this
There are many topologies to study in graph theory.
topology 表示“拓扑结构/具体拓扑”时为可数名词，复数形式是 topologies，在 many 后必须用复数。
Focus on the distinctions below. Other candidates are kept compact until a reliable usage note is available.
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。
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。
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。
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。
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。
在拓扑学中，咖啡杯和甜甜圈是一样的。
This saying is often used to explain that topology studies properties that remain unchanged under continuous deformation.
这句话常用来解释拓扑学研究在连续变形下保持不变的属性。
Use topology naturally, then get feedback on meaning, tone, grammar, and phrasing.
Revisit a common error or keep this word in your review list.
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。
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。
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。
Dictionary facts from ECDICT, WIKTIONARY.