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Traductions de „homeomorphic“ dans le dictionnaire anglais » allemand (Aller à allemand » anglais)

homeomorphic MATH

Exemples monolingues (non-vérifiés par l'équipe de rédaction)

anglais
A 2-cell embedding or map is an embedding in which every face is homeomorphic to an open disk.
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The clique complex of the graph is then homeomorphic to the surface.
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A space is metrizable if it is homeomorphic to a metric space.
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Care must be taken insofar as two tori are always homeomorphic, but in general not biholomorphic to each other.
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Intuitively, two spaces are homeomorphic if one can be deformed into the other without cutting or gluing.
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The correct version in this case is that if two knots have complements which are orientation-preserving homeomorphic, then they are isotopic.
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A precise definition of homeomorphic, involving a continuous function with a continuous inverse, is necessarily more technical.
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There are various properties that uniquely specify them; for instance, all unbounded, connected, and separable order topologies are necessarily homeomorphic to the reals.
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But a unit-square has no cut-point, and so can not be homeomorphic to the unit interval, in which all points except the endpoints are cut-points.
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Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same.
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