topology: meaning, definition, pronunciation and examples

C1
UKtəˈpɒlədʒiUStəˈpɑːlədʒi

Technical/Scientific

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Quick answer

What does “topology” mean?

The study of geometric properties that remain unchanged under continuous deformation (such as stretching, bending, or twisting) without tearing or gluing.

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Pronunciation

Definition

Meaning and Definition

The study of geometric properties that remain unchanged under continuous deformation (such as stretching, bending, or twisting) without tearing or gluing.

In computing, it refers to the arrangement of elements (e.g., nodes, links) in a network, such as a computer network, circuit, or organizational structure.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage; spelling and pronunciation are consistent.

Connotations

Primarily carries academic/scientific connotations in both varieties.

Frequency

Equally low-frequency outside technical contexts in both UK and US English.

Grammar

How to Use “topology” in a Sentence

[noun] of [noun][adjective] topologytopology is [adjective]

Vocabulary

Collocations

strong
network topologyalgebraic topologypoint-set topologylogical topology
medium
study topologytopology oftopology changestopology optimization
weak
general topologynew topologydifferent topologybasic topology

Examples

Examples of “topology” in a Sentence

adjective

British English

  • topological
  • The topological properties were invariant.

American English

  • topological
  • A topological space can be counterintuitive.

Usage

Meaning in Context

Business

Used in IT and network planning departments: 'We need to redesign the office network topology.'

Academic

Common in mathematics, physics, and computer science: 'His thesis focuses on knot theory, a branch of topology.'

Everyday

Very rare; might be heard in tech hobbies: 'The mesh topology of my smart home devices is quite robust.'

Technical

Precise use in mathematics (e.g., topology of a manifold) and computing (e.g., bus topology).

Vocabulary

Synonyms of “topology”

Vocabulary

Antonyms of “topology”

metric geometryrigid structure

Watch out

Common Mistakes When Using “topology”

  • Confusing 'topology' with 'topography' (the latter concerns physical surface features).
  • Using it as a synonym for 'hierarchy' or 'taxonomy'.
  • Mispronouncing stress as 'TOP-ology' (correct: 'to-POL-ogy').

FAQ

Frequently Asked Questions

It studies properties of space that are preserved under continuous deformations, like stretching or bending, but not tearing or gluing.

No. Geometry concerns precise distances and angles, while topology is more about the overall shape and connectivity.

It describes the layout of network components (like star, bus, ring, or mesh topologies) which affects performance and reliability.

The 'Möbius strip' is a classic topological object – a surface with only one side and one edge.

The study of geometric properties that remain unchanged under continuous deformation (such as stretching, bending, or twisting) without tearing or gluing.

Topology is usually technical/scientific in register.

Topology: in British English it is pronounced təˈpɒlədʒi, and in American English it is pronounced təˈpɑːlədʒi. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • rubber-sheet geometry (informal synonym)

Learning

Memory Aids

Mnemonic

Imagine TOP of a flexible LOG (shape) – topology studies shapes you can mold like a log's top.

Conceptual Metaphor

SHAPE AS PLASTIC (malleable, continuous), NETWORK AS MAP (interconnected layout).

Practice

Quiz

Fill in the gap
In , a square can be continuously deformed into a circle without breaking it.
Multiple Choice

Which field is most closely associated with the term 'topology'?