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Countable-codimensional subspaces of locally convex spaces

1973
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Proceedings of the Edinburgh Mathematical Society
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A barrel in a locally convex Hausdorff space E[x] is a closed absolutely convex absorbent set. A a-barrel is a barrel which is expressible as a countable intersection of closed absolutely convex neighbourhoods. A space is said to be barrelled {countably barrelled) if every barrel (a-barrel) is a neighbourhood, and quasi-barrelled (countably quasi-barrelled) if every bornivorous barrel (ff-barrel) is a neighbourhood. The study of countably barrelled and countably quasi-barrelled spaces was

doi:10.1017/s0013091500009895
fatcat:wrkqwpsyjfgcpjem3ar2sditdy