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.
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Extends stratifying systems to extriangulated categories, proves F(Φ) is Jordan-Hölder under left exactness on minimal projective completions, characterizes length categories via Grothendieck monoids, and answers an open question negatively.
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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.
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Stratifying systems and Jordan-H\"{o}lder extriangulated categories
Extends stratifying systems to extriangulated categories, proves F(Φ) is Jordan-Hölder under left exactness on minimal projective completions, characterizes length categories via Grothendieck monoids, and answers an open question negatively.