most recent 30 from http://mathoverflow.net 2013-05-26T05:41:02Z http://mathoverflow.net/feeds/user/31146 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120729/cosheafification Amit Patel 2013-02-04T05:30:34Z 2013-03-21T02:48:40Z

<p>Hello all. I have a pre-cosheaf in the category of vector spaces. How do I cosheafify? I've failed to find literature on this topic.</p> <p>I'll be more specific. Let $\mathbb{X}$ be a topological space and $\mathbf{Open}(\mathbb{X})$ the open set category of $\mathbb{X}$. Let $\mathbf{Vect}$ be the category consisting of real vector spaces as its objects and linear maps as its morphisms. My pre-cosheaf is a functor $\mathsf{F} : \mathbf{Open}(\mathbb{X}) \to \mathbf{Vect}$. How do I cosheafify $\mathsf{F}$?</p>