topology

IPA/təˈpɒlədʒi/
KK[təpˈɔlədʒi]IPA/təˈpɑːlədʒi/

topology — noun

  • topologysingular
  • topologiesplural

1. How the components of a system, computer network, or physical object are organiz

1.nounB2
Definition

How the components of a system, computer network, or physical object are organized and linked together.

Example

The IT team redesigned the office network topology so that every workstation connects directly to the main server.

topology + of + noun (network topology)

Mei-Lin studied the topology of the city's subway system before starting her new job as a transport planner.

Common collocations
  • network topology
  • bus topology
  • ring topology
  • star topology
  • topology of a system
  • change the topology
Synonyms
  • configuration

    more general, less technical — can replace 'topology' in most non-mathematical contexts

  • arrangement

    everyday word for how things are placed; lacks the formal/systematic sense of 'topology'

  • structure

    broader — includes hierarchy and organisation, not just connections

Grammar Patterns

topology + of + noun phrase

Usage Note

Often followed by 'of' and a noun describing the system or object (e.g., 'network topology', 'bus topology'). This is the most common non-technical use of the word, especially in computing and engineering.

Common Mistakes

The topology of the cake was beautiful.
The topography of the cake was beautiful.
'Topology' refers to connections and arrangement; 'topography' refers to surface features.

2. A mathematical discipline that studies how shapes and surfaces keep certain feat

2.nounC1
Definition

A mathematical discipline that studies how shapes and surfaces keep certain features when pulled, twisted, or curved — provided the object is not cut or split.

Example

Professor Chen said a square and circle are the same in topology — you can stretch one into the other.

in topology + statement about properties

Elena chose to write her master's thesis on knot theory, which is a lively area of research within topology.

Common collocations
  • algebraic topology
  • general topology
  • topological space
  • topological property
  • knot theory
  • rubber-sheet geometry
Synonyms
  • rubber-sheet geometry

    informal, memorable name used to introduce the idea to beginners; not a formal synonym

Grammar Patterns

topology + is + noun phrase describing field

Usage Note

In academic writing, 'topology' takes a singular verb ('Topology is...'). The adjective 'topological' is used to describe things that relate to this branch of mathematics (e.g., 'topological space', 'topological property'). The adverb 'topologically' is also common.

Common Mistakes

I studied the topology of the mountain.
I studied the topography of the mountain.
Topology (mathematics) is about abstract shapes; topography is about the physical surface of land.

3. The study of the physical features and historical development of a specific area

3.nounC1
Definition

The study of the physical features and historical development of a specific area, including its surface shapes and how human activity has changed them over time.

Example

The team published a topology of the ancient port city, showing how the coastline had shifted over two thousand years.

topology + of + a place (formal, academic)

Ana studied the topology of the valley to understand why earlier settlers chose that location for their village.

Common collocations
  • topology of a region
  • historical topology
  • urban topology
Synonyms
  • topography

    more common word for physical surface features; 'topology' adds historical and cultural context

Grammar Patterns

topology + of + a place

Usage Note

This sense overlaps with 'topography', but 'topology' here places more emphasis on the historical relationship between physical features and human activity. The word is not common in everyday conversation — 'topography' is much more frequent for physical surface features alone.

4. The study of the human body by regions — such as the chest, head, or abdomen — f

4.nounC1
Definition

The study of the human body by regions — such as the chest, head, or abdomen — focusing on how muscles, nerves, blood vessels, and organs are arranged in relation to one another within each area.

Example

Dr. Park credited his thorough understanding of chest topology for the success of the complicated heart surgery.

topology + of + a body region (medical context)

First-year medical students studied the topology of the head and neck region in detail.

Common collocations
  • chest topology
  • head topology
  • abdominal topology
  • regional topology
  • human topology
Synonyms

Grammar Patterns

topology + of + body part

topology + in + medicine context

Usage Note

In medical contexts, 'topology' is used synonymously with 'regional anatomy' or 'topographic anatomy'. It is rarely used outside medical or anatomical education.

Word family

  • topological
    adjectiveC1
  • topologically
    adverbC1
  • topologist
    nounC1
  • topography
    nounB2
  • topographic
    adjectiveB2

Synonym discussion

Sense: noun/1

Topology (sense 1) refers specifically to how parts of a system are connected and relate to one another — it emphasises the pattern of links, not just position. Configuration is the closest synonym, but it is more general: a configuration can describe any set-up, whereas a topology implies organised connections. Arrangement is the simplest everyday word, focusing on placement without the formal sense of systematic linking. Structure adds the idea of hierarchy and organisation, so it works well for organisations but less well for physical networks. Topography is the most commonly confused word: it describes surface features (hills, rivers, roads) rather than the abstract pattern of connections. For example, you would study the topography of a mountain range but the topology of a computer network. In short, use topology when you care about how things are linked; use arrangement or configuration when you care mainly about where things are.

configuration ↗arrangement ↗structure ↗topography ↗

Common collocations

Phrases

  • topology of [something]
  • [noun] topology

Etymology

GreekLatinFrenchEnglish

The word 'topology' comes from the Greek tópos (τόπος), meaning 'place', and -logia (-λογία), meaning 'study of'. It was first used in the 17th century for the study of places and their features (the geography/topography sense). In the late 19th century, mathematicians adopted it to name the new field of 'analysis situs' — the study of spatial properties that remain unchanged under continuous deformation. The mathematical sense eventually overtook the original geographical one in frequency.

First known use

1850

1850, in the meaning defined at sense 1