About finite lower neighbourhood in functional space
Prikladnaâ diskretnaâ matematika, no. 10 (2009).

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In this paper, we deal with a space that is a set with a closure property whose any finitely generated closed subspace has a finite lower neighbourhood. Such spaces arise in discrete functional systems with superpositions.
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N. G. Parvatov. About finite lower neighbourhood in functional space. Prikladnaâ diskretnaâ matematika, no. 10 (2009). http://geodesic.mathdoc.fr/item/PDM_2009_10_a3/

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