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}
}
  • S. Akbarov
  • Published 2016
  • Mathematics
  • Dissertationes Mathematicae
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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