homeomorphism

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

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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 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… …   New Collegiate Dictionary

  • 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 …  

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