homeomorphism

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noun

a continuous bijection from one topological space to another, with continuous inverse.

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Meanings

nounhomeomorphism (plural homeomorphisms)

plural homeomorphisms · alternative homoeomorphism · alternative homœomorphism

  1. mathematicsa continuous bijection from one topological space to another, with continuous inverse.
  2. chemistrya similarity in the crystal structure of unrelated compounds

Synonyms & antonyms

Broader
equivalence relation

Origin

From homeo- + -morphism.

Full word history & related roots →

Translations

Bulgarian хомеоморфизъм, хомеоморфизъм
  • хомеоморфизъм (homeomorfizăm)in topology
  • хомеоморфизъм (homeomorfizăm)in chemistry
Chinese Mandarin 同胚
  • 同胚 (tóngpēi)in topology
Czech homeomorfismus
  • homeomorfismusin topology
Danish homøomorfi, homeomorfi
  • homøomorfiin topology
  • homeomorfiin topology
Dutch homeomorfisme
  • homeomorfismein topology
Esperanto homeomorfio
  • homeomorfioin topology
Finnish homeomorfismi, homeomorfismi
  • homeomorfismiin topology
  • homeomorfismiin chemistry
German Homöomorphismus
  • Homöomorphismusin topology
Greek ομοιομορφισμός
  • ομοιομορφισμός (omoiomorfismós)in topology
Icelandic grannmótun
  • grannmótunin topology
Irish hoiméamorfacht, hoiméamorfachas
  • hoiméamorfachtin topology
  • hoiméamorfachasin topology
Italian omeomorfismo
  • omeomorfismoin topology
Korean 위상동형사상
  • 위상동형사상 (wisangdonghyeongsasang)in topology
Polish homeomorfizm, izomorfizm topologiczny
  • homeomorfizmin topology
  • izomorfizm topologicznyin topology
  • homeomorfizmin chemistry
  • izomorfizm topologicznyin chemistry
Portuguese homeomorfismo
  • homeomorfismoin topology
Russian гомеоморфизм
  • гомеоморфизм (gomeomorfizm)in topology
Spanish homeomorfismo
  • homeomorfismoin topology
Ukrainian гомеоморфізм
  • гомеоморфізм (homeomorfizm)in topology
Vietnamese phép đồng phôi
  • phép đồng phôiin topology
Welsh homeomorffedd
  • homeomorffeddin topology
Cite this entry
APA

homeomorphism. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/homeomorphism

MLA

“homeomorphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/homeomorphism. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “homeomorphism,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/homeomorphism.

Source: homeomorphism on Wiktionary, CC BY-SA 4.0.