Standard Lemma guide

topology

noun · 11 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • Received-Pronunciation: /təˈpɒləd͡ʒi/
  • General-American: /təˈpɑləd͡ʒi/
  • US: Recorded audio is listed in the source snapshot.
  • rhymes with -ɒlədʒi
  • CMU ARPABET: T AH0 P AO1 L AH0 JH IY0 Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.

1

noun

Meaning 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).

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematics, sciences

Examples

  • 1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v, This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.
  • 1974 [Crane, Russak & Co.], H. Graham Flegg, From Geometry to Topology, 2001, Dover, page v, Many university courses in topology plunge immediately into a formalized and entirely abstract presentation of topological concepts.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: mathematics, sciences, topology

Examples

  • A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau).
  • The subsets of a set X which constitute a topology are called the open sets of X.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

The anatomical structure of part of the body.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: medicine, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

The arrangement of nodes in a communications network.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

noun

Meaning 5

The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: engineering, natural-sciences, physical-sciences, technology

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

noun

Meaning 6

The topographical study of geographic locations or given places in relation to their history.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: geography, natural-sciences, topography

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

7

noun

Meaning 7

The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Definition source: English Wiktionary via Wiktextract

Usage: countable, dated, uncountable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

8

noun

Meaning 8

the configuration of a communication network

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: network topology

Antonyms: none provided

Broader terms: configuration, constellation

Narrower terms: bus topology, bus, loop topology, loop, star topology, star, mesh topology, mesh, physical topology, logical topology

9

noun

Meaning 9

the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: analysis situs

Antonyms: none provided

Broader terms: pure mathematics

10

noun

Meaning 10

the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: regional anatomy, topographic anatomy

Antonyms: none provided

Broader terms: anatomy, general anatomy

11

noun

Meaning 11

topographic study of a given place (especially the history of the place as indicated by its topography)

Definition source: Princeton WordNet 3.0

Examples

  • Greenland's topology has been shaped by the glaciers of the ice age

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: topography

History

Etymology

From Late Latin topologia, from By surface analysis, topo- (“place”) + -logy (“study of, a branch of knowledge”).

Across languages

Translations

59 source translations are retained for this English entry.

  • Afrikaans: topologie — study of geometric properties that are not changed by stretching etc.
  • Arabic: طوبولوجيا (tūbūlūjiyā) — study of geometric properties that are not changed by stretching etc.
  • Catalan: topologia — study of geometric properties that are not changed by stretching etc.
  • Chinese Mandarin: 拓撲學 /拓扑学 (tuòpūxué) — study of geometric properties that are not changed by stretching etc.
  • Czech: topologie — study of geometric properties that are not changed by stretching etc.
  • Danish: topologi — study of geometric properties that are not changed by stretching etc.
  • Dutch: topologie — study of geometric properties that are not changed by stretching etc.
  • Esperanto: topologio — study of geometric properties that are not changed by stretching etc.
  • Estonian: topoloogia — study of geometric properties that are not changed by stretching etc.
  • Finnish: topologia — study of geometric properties that are not changed by stretching etc.
  • French: topologie — study of geometric properties that are not changed by stretching etc.
  • Galician: topoloxía — study of geometric properties that are not changed by stretching etc.
  • German: Topologie — study of geometric properties that are not changed by stretching etc.
  • Greek: τοπολογία (topología) — study of geometric properties that are not changed by stretching etc.
  • Hebrew: טופולוגיה (topológya) — study of geometric properties that are not changed by stretching etc.
  • Hungarian: topológia — study of geometric properties that are not changed by stretching etc.
  • Icelandic: grannfræði — study of geometric properties that are not changed by stretching etc.
  • Icelandic: stöðfræði — study of geometric properties that are not changed by stretching etc.
  • Irish: toipeolaíocht — study of geometric properties that are not changed by stretching etc.
  • Italian: topologia — study of geometric properties that are not changed by stretching etc.
  • Japanese: 位相幾何学 (isō-kikagaku) — study of geometric properties that are not changed by stretching etc.
  • Japanese: 位相数学 (isō-sūgaku) — study of geometric properties that are not changed by stretching etc.
  • Japanese: トポロジー (toporojī) — study of geometric properties that are not changed by stretching etc.
  • Kazakh: топология (topologiä) — study of geometric properties that are not changed by stretching etc.
  • Khmer: ឋានវិទ្យា (thaanvityiə) — study of geometric properties that are not changed by stretching etc.
  • Korean: 위상수학 (wisangsuhak) — study of geometric properties that are not changed by stretching etc.
  • Latvian: topoloģija — study of geometric properties that are not changed by stretching etc.
  • Macedonian: топологија (topologija) — study of geometric properties that are not changed by stretching etc.
  • Malay: topologi — study of geometric properties that are not changed by stretching etc.
  • Iranian Persian: توپولوژی (tupuluži) — study of geometric properties that are not changed by stretching etc.
  • Polish: topologia — study of geometric properties that are not changed by stretching etc.
  • Portuguese: topologia — study of geometric properties that are not changed by stretching etc.
  • Romanian: topologie — study of geometric properties that are not changed by stretching etc.
  • Russian: тополо́гия (topológija) — study of geometric properties that are not changed by stretching etc.
  • Serbo-Croatian: topologija — study of geometric properties that are not changed by stretching etc.
  • Serbo-Croatian: топологија — study of geometric properties that are not changed by stretching etc.
  • Sicilian: topoluggìa — study of geometric properties that are not changed by stretching etc.
  • Slovene: topologija — study of geometric properties that are not changed by stretching etc.
  • Spanish: topología — study of geometric properties that are not changed by stretching etc.
  • Ukrainian: тополо́гія (topolóhija) — study of geometric properties that are not changed by stretching etc.
  • Vietnamese: tô pô học — study of geometric properties that are not changed by stretching etc.
  • Greek: τοπολογία (topología) — anatomical structure
  • Russian: тополо́гия (topológija) — anatomical structure
  • Serbo-Croatian: topologija — anatomical structure
  • Serbo-Croatian: топологија — anatomical structure
  • Chinese Mandarin: 拓撲 /拓扑 (tuòpū) — arrangements of computer nodes
  • Czech: topologie — arrangements of computer nodes
  • Finnish: topologia — arrangements of computer nodes
  • French: topologie — arrangements of computer nodes
  • German: Topologie — arrangements of computer nodes
  • Greek: τοπολογία (topología) — arrangements of computer nodes
  • Hungarian: topológia — arrangements of computer nodes
  • Indonesian: topologi — arrangements of computer nodes
  • Japanese: トポロジー (toporojī) — arrangements of computer nodes
  • Māori: āhuawhatunga — arrangements of computer nodes
  • Portuguese: topologia — arrangements of computer nodes
  • Russian: тополо́гия (topológija) — arrangements of computer nodes
  • Serbo-Croatian: topologija — arrangements of computer nodes
  • Serbo-Croatian: топологија — arrangements of computer nodes
Real reading context

topology in complete knowledge articles