noun Etymology: International Scientific Vocabulary Date: 1854 a function that is a one-to-one mapping between sets such that both the function and its inverse are continuous and that in topology exists for geometric figures which can be transformed one into the other by an elastic deformation • homeomorphic adjective

New Collegiate Dictionary. 2001.

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  • homeomorphism — homeomorphism. См. гомеоморфизм. (Источник: «Англо русский толковый словарь генетических терминов». Арефьев В.А., Лисовенко Л.А., Москва: Изд во ВНИРО, 1995 г.) …   Молекулярная биология и генетика. Толковый словарь.

  • homeomorphism — 1854, from homeomorphous (1832), from HOMEO (Cf. homeo ) + morphous (see METAMORPHOSIS (Cf. metamorphosis)); originally of crystals. Homeomorphic is from 1902 …   Etymology dictionary

  • homeomorphism — [hō΄mē ō môr′fiz΄əm] n. [ HOMEO + MORPH + ISM] similarity in structure and form; esp., a close similarity of crystalline forms between substances of different chemical composition homeomorphous [hō΄mē ō΄môr′fəs] adj …   English World dictionary

  • Homeomorphism — Topological equivalence redirects here; see also topological equivalence (dynamical systems). donut illustrating that they are homeomorphic. But there does not need to be a continuous deformation for two spaces to be homeomorphic.In the… …   Wikipedia

  • homeomorphism — homeomorphic, homeomorphous, adj. /hoh mee euh mawr fiz euhm/, n. 1. similarity in crystalline form but not necessarily in chemical composition. 2. Math. a function between two topological spaces that is continuous, one to one, and onto, and the… …   Universalium

  • homeomorphism — noun a) a continuous bijection from one topological space to another, with continuous inverse. b) a similarity in the crystal structure of unrelated compounds …   Wiktionary

  • homeomorphism — [ˌhɒmɪə(ʊ) mɔ:fɪz(ə)m, ˌhəʊm ] noun Mathematics an instance of topological equivalence. Derivatives homeomorphic adjective Origin from Gk homoios like + morphē form + ism …   English new terms dictionary

  • homeomorphism — ho·meo·mor·phism …   English syllables

  • homeomorphism — ho•me•o•mor•phism [[t]ˌhoʊ mi əˈmɔr fɪz əm[/t]] n. math. a mathematical function between two topological spaces that is continuous, one to one, and onto, and the inverse of which is continuous • Etymology: 1850–55 ho me•o•mor′phic, ho… …   From formal English to slang

  • homeomorphism — /ˌhoʊmiəˈmɔfɪzəm/ (say .hohmeeuh mawfizuhm) noun → homoeomorphism. –homeomorphous, adjective …   Australian English dictionary

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