English Explanatory Dictionary

topology

English dictionary entry

Meanings

noun
  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).
  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.
  3. The anatomical structure of part of the body.
  4. The arrangement of nodes in a communications network.
  5. The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
  6. The topographical study of geographic locations or given places in relation to their history.
  7. The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Pronunciation

/təˈpɒləd͡ʒi/ /təˈpɑləd͡ʒi/ LL-Q1860 (eng)-Vininn126-topology.wav

Word forms

topology topologies

Etymology

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

Synonyms

analysis situs geometria situs

Related words

topological topologically topological space topologist toponymy homotopy

Derived words

Alexandrov topology algebraic topology bus topology circuit topology cofinite topology combinatorial topology differential topology discrete topology disjoint union topology ditopology electrotopology final topology geometric topology Grothendieck topology heterotopology hypertopology initial topology link topology mereotopology microtopology nanotopology network topology pointfree topology pointless topology point-set topology pretopology product topology psychotopology relative topology retopology ring topology Scott topology standard topology star topology subspace topology subtopology trivial topology Zariski topology

Translations

Afrikaans: topologie Catalan: topologia Chinese Mandarin: 拓撲學 /拓扑学 Czech: topologie Danish: topologi Dutch: topologie Esperanto: topologio Estonian: topoloogia Finnish: topologia French: topologie Galician: topoloxía German: Topologie Greek: τοπολογία Hebrew: טופולוגיה Hungarian: topológia Icelandic: grannfræði Icelandic: stöðfræði Irish: toipeolaíocht Italian: topologia Japanese: 位相幾何学 Japanese: 位相数学 Japanese: トポロジー Kazakh: топология Khmer: ឋានវិទ្យា Korean: 위상수학 Latvian: topoloģija Macedonian: топологија Malay: topologi Polish: topologia Portuguese: topologia Romanian: topologie Russian: тополо́гия Serbo-Croatian: topologija Serbo-Croatian: топологија Sicilian: topoluggìa Slovene: topologija Spanish: topología Ukrainian: тополо́гія Vietnamese: tô pô học
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