Sequential completeness of inductive limits
نویسندگان
چکیده
منابع مشابه
Sequential Completeness of Inductive Limits
A regular inductive limit of sequentially complete spaces is sequentially complete. For the converse of this theorem we have a weaker result: if indEn is sequentially complete inductive limit, and each constituent space En is closed in indEn, then indEn is α-regular.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2000
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171200003744