TERMIUM Plus®

The Government of Canada’s terminology and linguistic data bank.

HOMEOMORPHISME [1 record]

Record 1 1994-09-15

English

Subject field(s)
  • Modern Mathematics
  • Computer Graphics
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).

French

Domaine(s)
  • Mathématiques modernes
  • Infographie
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.

DEF

Application, mappage, correspondance ou fonction bijective et bicontinue définie entre deux espaces topologiques.

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.

PHR

homoéomorphisme du cercle

Spanish

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