Topological vector spaces

Bornivorous set

In functional analysis, a subset of a real or complex vector space that has an associated vector bornology is called bornivorous and a bornivore if it absorbs every element of If is a topological vector space (TVS) then a subset of is bornivorous if it is bornivorous with respect to the von-Neumann bornology of . Bornivorous sets play an important role in the definitions of many classes of topological vector spaces (e.g. Bornological spaces). (Wikipedia).

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Related pages

Bounded set (topological vector space) | Auxiliary normed space | Topological vector space | Absorbing set | Balanced set | Functional analysis | Vector bornology | Minkowski functional | Bornological space