Hyperconvexity

Translation of "hyperconvexity" into Russian

hyperconvexity

Noun

hyperconvexity

hyperconvexities pl

гиперконвексность

The concept of hyperconvexity is important in the study of metric spaces.

Понятие гиперконвексности важно в изучении метрических пространств.

Definitions

hyperconvexity

Noun

The property of a metric space where every family of closed balls with the property that the intersection of every finite subfamily is non-empty, has a non-empty intersection.

The mathematician studied the hyperconvexity of the space to understand its geometric properties.

The property of a domain in several complex variables that admits a continuous plurisubharmonic exhaustion function, making it analytically convex.

The hyperconvexity of the domain allows the application of powerful tools from pluripotential theory.

Translations
Definitions