On sequentially retractive inductive limits

Armando García

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-6

Abstract:

Every locally complete inductive limit of sequentially complete locally convex spaces, which satisfies Retakh's condition ( M ) is regular, sequentially complete and sequentially retractive. A quasiconverse for this theorem and a criterion for sequential retractivity of inductive limits of webbed spaces are given.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:764765

DOI: 10.1155/S0161171203205202

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