- hyperconvex space
- мат.гипервыпуклое пространство
English-Russian scientific dictionary. 2008.
hyperconvex space
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Injective metric space — In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher dimensional vector spaces. These properties can … Wikipedia
Metric space aimed at its subspace — In mathematics, a metric space aimed at its subspace is a categorical construction that has a direct geometric meaning. It is also a useful step toward the construction of the metric envelope, or tight span, which are basic (injective) objects of … Wikipedia
Category of metric spaces — The category Met, first considered by Isbell (1964), has metric spaces as objects and metric maps or short maps as morphisms. This is a category because the composition of two metric maps is again metric.The monomorphisms in Met are the injective … Wikipedia
Tight span — If a set of points in the plane, with the Manhattan metric, has a connected orthogonal convex hull, then that hull coincides with the tight span of the points. In metric geometry, the metric envelope or tight span of a metric space M is an… … Wikipedia
Helly family — In combinatorics, a Helly family of order k is a family of sets such that any minimal subfamily with an empty intersection has k or fewer sets in it. In other words, any subfamily such that every (k+1) fold intersection is non empty has non empty … Wikipedia
Nachman Aronszajn — Born 1907 Poland Died 1980 United States Nationality … Wikipedia
