# Envelopes and refinements in categories, with applications to functional analysis

@article{Akbarov2016EnvelopesAR, title={Envelopes and refinements in categories, with applications to functional analysis}, author={S. Akbarov}, journal={Dissertationes Mathematicae}, year={2016}, volume={513}, pages={1-188} }

An envelope in a category is a construction that generalizes the operations of "exterior completion", like completion of a locally convex space, or Stone-\v{C}ech compactification of a topological space, or universal enveloping algebra of a Lie algebra. Dually, a refinement generalizes operations of "interior enrichment", like bornologification (or saturation) of a locally convex space, or simply connected covering of a Lie group. In this paper we define envelopes and refinements in abstract… Expand

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