Geodesic
The space $D$ is not hereditarily complete
Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 696-710 Cet article a éte moissonné depuis la source Math-Net.Ru

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We shall prove some results in the theory of hereditarily complete and fully complete locally convex spaces. 
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O. G. Smolyanov. The space $D$ is not hereditarily complete. Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 696-710. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a10/

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