Bornology

Translation of "bornology" into Russian

bornology

Noun

bornology

bornologies pl

борнология

Bornology is a branch of mathematics that deals with bounded sets.

Борнология — это раздел математики, который занимается ограниченными множествами.

Definitions

bornology

Noun

The branch of topology and functional analysis that investigates boundedness structures (bornologies) on sets.

Bornology plays an important role in studying locally convex spaces and their bounded sets.

A collection of subsets of a given set that is closed under taking subsets and finite unions and whose union equals the set, used to formalize the notion of boundedness.

The family of all subsets of \(\mathbb{R}^n\) contained in some closed ball forms a bornology.

Translations
Definitions