Geodesic
Sequential completeness and regularityof inductive limits of webbed spaces
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 329-332

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MR   Zbl

Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.
Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.
Classification : 46A04, 46A13
Keywords: localy convex space; webbed space; sequential completeness; regularity of an inductive limit 
Bosch, Carlos; Kučera, Jan. Sequential completeness and regularityof inductive limits of webbed spaces. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 329-332. http://geodesic.mathdoc.fr/item/CMJ_2002_52_2_a7/
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[1] M.  De Wilde: Closed Graph Theorem and Webbed Spaces. Pitman, 1978.

[2] G. Köthe: Topological Vector Spaces II. Springer-Verlag, 1979. | MR

[3] W.  Robertson: On the closed graph theorem with webs. Proc. London Math. Soc. 24 (1972), 692–738. | MR

[4] J. Kučera, C. Bosch: Bounded sets in fast complete inductive limits. Internat J.  Math. 7 (1984), 615–617. | DOI | MR

[5] J. Kučera: Sequential completeness of $LF$-spaces. Czechoslovak Math.  J 51 (2001), 181–183. | DOI | MR