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HOMEOMORPHISM [3 records]
Record 1 - internal organization data 1999-05-19
Record 1, English
Record 1, Subject field(s)
- Mathematics
Record 1, Main entry term, English
- imbedding
1, record 1, English, imbedding
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A homeomorphism of one topological space to a subspace of another topological space. 2, record 1, English, - imbedding
Record 1, French
Record 1, Domaine(s)
- Mathématiques
Record 1, Main entry term, French
- insertion
1, record 1, French, insertion
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- immersion 1, record 1, French, immersion
correct, feminine noun
Record 1, Textual support, French
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1994-09-15
Record 2, English
Record 2, Subject field(s)
- Modern Mathematics
- Computer Graphics
Record 2, Main entry term, English
- topological transformation
1, record 2, English, topological%20transformation
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- homeomorphism 2, record 2, English, homeomorphism
correct
Record 2, Textual support, English
Record number: 2, Textual support number: 1 DEF
A one-to-one correspondence between the points of two geometric figures A and B which is continuous in both directions; a one-to-one correspondence between the points of A and B such that open sets in A correspond to open sets in B, and conversely (or analogously for closed sets). 1, record 2, English, - topological%20transformation
Record 2, French
Record 2, Domaine(s)
- Mathématiques modernes
- Infographie
Record 2, Main entry term, French
- homéomorphisme
1, record 2, French, hom%C3%A9omorphisme
correct, masculine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
- bijection continue 2, record 2, French, bijection%20continue
correct, feminine noun
- application bicontinue 3, record 2, French, application%20bicontinue
correct, feminine noun
Record 2, Textual support, French
Record number: 2, Textual support number: 1 DEF
On appelle homéomorphisme d'un espace topologique E sur un espace topologique F une bijection de E sur F qui est continue ainsi que sa bijection réciproque. 2, record 2, French, - hom%C3%A9omorphisme
Record number: 2, Textual support number: 2 DEF
Application, mappage, correspondance ou fonction bijective et bicontinue définie entre deux espaces topologiques. 4, record 2, French, - hom%C3%A9omorphisme
Record number: 2, Textual support number: 1 OBS
Cette forme d'analogie étroite entre deux formes géométriques est un cas particulier d'isomorphisme. D'autre part, le difféomorphisme est un cas particulier d'homéomorphisme. 4, record 2, French, - hom%C3%A9omorphisme
Record number: 2, Textual support number: 1 PHR
homoéomorphisme du cercle 4, record 2, French, - hom%C3%A9omorphisme
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1987-05-22
Record 3, English
Record 3, Subject field(s)
- Modern Mathematics
Record 3, Main entry term, English
- diffeomorphism
1, record 3, English, diffeomorphism
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 CONT
Since(R, T) is a metric topological space, it is also a Hausdorff space, and function [phi-(i]), being a diffeomorphism, is also a homeomorphism from an open set of R to an open set of [the energy hypersurface]. 2, record 3, English, - diffeomorphism
Record 3, French
Record 3, Domaine(s)
- Mathématiques modernes
Record 3, Main entry term, French
- difféomorphisme
1, record 3, French, diff%C3%A9omorphisme
correct, masculine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record number: 3, Textual support number: 1 CONT
Difféomorphisme d'un ouvert U d'un R-espace vectoriel normé E dans un ouvert V d'un R-espace vectoriel normé F : Application de U dans V qui est bijective, continûment différentiable et dont la bijection réciproque est aussi continûment différentiable. 1, record 3, French, - diff%C3%A9omorphisme
Record 3, Spanish
Record 3, Textual support, Spanish
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