topology

English

Etymology

From Late Latin topologia, from Ancient Greek τόπος (tópos, “place, locality”) + -(o)logy (“study of, a branch of knowledge”).

Pronunciation

• IPA^(key): /təˈpɒlədʒi/
• IPA^(key): /təˈpɑlədʒi/
• Rhymes: -ɒlədʒi

Noun

topology (countable and uncountable, plural topologies)

1. (mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
2. (mathematics) A collection τ of subsets of a set X such that the empty set and X are both members of τ and τ is closed under finitary intersections and arbitrary unions.
3. (medicine) The anatomical structure of part of the body.
4. (computing) The arrangement of nodes in a communications network.
5. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
6. (topography) The topographical study of geographic locations or given places in relation to their history.
7. (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Synonyms

• (mathematics) analysis situs

Meronyms

• open set

Holonyms

• topological space

Derived terms

• differential topology
• hypertopology

• algebraic topology

• geometric topology

• point-set topology
• pointless topology

Related terms

• topological

• topologically

• topological space

• topologist

Translations

study of geometric properties that are not changed by stretching etc.

• Afrikaans: topologie
• Catalan: topologia f
• Chinese:

  Mandarin: 拓撲學／拓扑学 (zh), 拓扑学 (zh) (tuòpūxué)

• Czech: topologie (cs) f
• Danish: topologi (da)
• Dutch: topologie (nl) f
• Estonian: topoloogia
• Finnish: topologia (fi)
• French: topologie (fr) f
• Galician: topoloxía f
• German: Topologie (de) f
• Greek: τοπολογία (el) f (topología)
• (deprecated template usage) {{trans-mid}}
• Hebrew: טופולוגיה (he) f (topológya)
• Hungarian: topológia (hu)
• Italian: topologia (it) f
• Japanese: 位相幾何学 (isō-kikagaku), 位相数学 (いそうすうがく, isō-sūgaku), トポロジー (toporojī)
• Korean: 위상수학 (ko) (wisang suhak)
• Latvian: topoloģija f
• Macedonian: топологија f (topologija)
• Polish: topologia (pl) f
• Portuguese: topologia (pt) f
• Romanian: topologie (ro) f
• Russian: тополо́гия (ru) f (topológija)
• Serbo-Croatian: topologija (sh) f, топологија f
• Spanish: topología f

anatomical structure

• Greek: τοπολογία (el) f (topología)
• Russian: тополо́гия (ru) f (topológija)
• (deprecated template usage) {{trans-mid}}
• Serbo-Croatian: topologija (sh) f, топологија f

arrangements of computer nodes

• Chinese:

  Mandarin: 拓撲／拓扑 (zh), 拓扑 (zh) (tuòpū)

• Czech: topologie (cs) f
• Finnish: topologia (fi)
• French: topologie (fr) f
• German: Topologie (de) f
• Greek: τοπολογία (el) f (topología)
• (deprecated template usage) {{trans-mid}}
• Hungarian: topológia (hu)
• Japanese: トポロジー (toporojī)
• Maori: āhuawhatunga
• Portuguese: topologia (pt) f
• Russian: тополо́гия (ru) f (topológija)
• Serbo-Croatian: topologija (sh) f, топологија f

See also

• topology on Wikipedia.Wikipedia
• Appendix:Glossary of topology

Anagrams

• optology