On sequentially retractive inductive limits (Q1811885)

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scientific article; zbMATH DE number 1930010
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English
On sequentially retractive inductive limits
scientific article; zbMATH DE number 1930010

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    On sequentially retractive inductive limits (English)
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    18 June 2003
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    Every-locally complete inductive limit of sequentially complete locally convex spaces which satisfies Retakh's condition (M) is regular, sequentially complete and sequentially retractive. In this paper, a quasi-converse for this theorem and a criterion for sequential retractivity of inductive limits of webbed spaces are given; for details, we refer the reader to the paper.
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    inductive limit
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    sequentially complete
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    locally complete
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    sequentially retractive
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    sequentially webbed space
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