The derived category of a locally compact Hausdorff space X is smooth if and only if X is discrete and finite.
Higher T opos T heory
2 Pith papers cite this work. Polarity classification is still indexing.
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2023 2verdicts
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Characterizes compact objects in Shv(X,C) for hypercomplete locally compact Hausdorff X and compactly generated stable C, recovering Neeman and showing compact generation iff X totally disconnected.
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The derived category of a locally compact space is rarely smooth
The derived category of a locally compact Hausdorff space X is smooth if and only if X is discrete and finite.
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Compact sheaves on a locally compact space
Characterizes compact objects in Shv(X,C) for hypercomplete locally compact Hausdorff X and compactly generated stable C, recovering Neeman and showing compact generation iff X totally disconnected.