Sequential completeness of inductive limits

Claudia Gómez and Jan Kučera

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-3

Abstract:

A regular inductive limit of sequentially complete spaces is sequentially complete. For the converse of this theorem we have a weaker result: if ind E n is sequentially complete inductive limit, and each constituent space E n is closed in ind E n , then ind E n is α -regular.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:870124

DOI: 10.1155/S0161171200003744

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