Übersetzung für 'Urysohn's' von Englisch nach Deutsch

Urysohn's lemma

urysohnsches Lemma {n}math.

Urysohn's lemma [also: Urysohn lemma, lemma of Urysohn]

Lemma {n} von Urysohn [auch: urysohnsches Lemma, Urysohn'sches Lemma]math.

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Alexandroff-Urysohn's theorem

Satz {m} von Alexandroff-Urysohnmath.

• The Russian topological school, founded by Paul Alexandroff and Paul Urysohn, was based heavily on Hausdorff's "Principles".
• Such spaces are exactly the separable and metrizable "X" (see Urysohn's metrization theorem).
• The lemma is named after the mathematician Pavel Samuilovich Urysohn.
• Every first-countable space is a Fréchet–Urysohn space.
• The Urysohn universal space is a certain metric space that contains all separable metric spaces in a particularly nice manner. This mathematics concept is due to Pavel Urysohn.

• is a Fréchet–Urysohn space (which all metric spaces and first-countable spaces are), then [...] is a limit point of [...] if and only if there is a sequence of points in [...] whose limit is [...] In fact, Fréchet–Urysohn spaces are characterized by this property.
• With this topology, [...] becomes a complete Hausdorff locally convex sequential topological vector space that is [...] a Fréchet–Urysohn space.