Is there a well-defined notion of coherent cosheaves in a similar sense to coherent sheaves? If so, what properties do they hold?
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$\begingroup$ There are these things called "contraherent cosheaves" which may be relevant: arxiv.org/abs/1209.2995 $\endgroup$– Qiaochu YuanCommented Dec 27, 2015 at 0:08
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$\begingroup$ Shouldn't that be "herent cosheaves"? ;) $\endgroup$– user1688Commented Dec 27, 2015 at 12:07
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