In mathematics, especially functional analysis, a bornology on a set X is a collection of subsets of X satisfying axioms that generalize the notion of...

In mathematics, especially functional analysis, a bornology B {\displaystyle {\mathcal {B}}} on a vector space X {\displaystyle X} over a field K , {\displaystyle...

Bourbaki[citation needed] after borné, the French word for "bounded". A bornology on a set X {\displaystyle X} is a collection B {\displaystyle {\mathcal...

vector space X {\displaystyle X} is called the von Neumann bornology or the (canonical) bornology of X . {\displaystyle X.} A base or fundamental system of...

dimension. Atlas (topology) – Set of charts that describes a manifold Bornology – Mathematical generalization of boundedness Covering space – Type of...

complex vector space X {\displaystyle X} that has an associated vector bornology B {\displaystyle {\mathcal {B}}} is called bornivorous and a bornivore...

encompasses finite subsets (using counting measure) and small sets below. A bornology on a set X {\displaystyle X} is an ideal that covers X . {\displaystyle...

Hogbe-Nlend, Henri (1977). Bornologies and Functional Analysis: Introductory Course on the Theory of Duality Topology-Bornology and its use in Functional...

boundedness Bornological space – Space where bounded operators are continuous Bornology – Mathematical generalization of boundedness Locally convex topological...

Hogbe-Nlend, Henri (1977). Bornologies and Functional Analysis: Introductory Course on the Theory of Duality Topology-Bornology and its use in Functional...