A canonical triangle functor between the derived categories of complete and regular LB-spaces is an equivalence, providing homological evidence that the two classes share the same homological algebra.
Positselski,Exact categories of topological vector spaces with linear topology, Preprint available at arXiv:2012.15431v5,
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A homological approach to (Grothendieck's) completeness problem for regular LB-spaces
A canonical triangle functor between the derived categories of complete and regular LB-spaces is an equivalence, providing homological evidence that the two classes share the same homological algebra.