Categories with envelopes and imprints

Mathematics – Functional Analysis

Scientific paper

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89 pages, in English (see the Russian version in the previous submission)

Scientific paper

An envelope in a category is a construction that generalizes the operations of "exterior completion", like completion of a locally convex space. Dually, an imprint generalizes operations of "interior enrichment", like bornologification of a locally convex space. We define envelopes and imprints in abstract categories, give some examples, and describe some applications for the categories of stereotype spaces and stereotype algebras.

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