论文标题
细胞Cosheaf同源性是Cosheaf同源性
Cellular cosheaf homology are cosheaf homology
论文作者
论文摘要
Cosheaf是捆捆的双重概念，但由于缺乏Cosheaffiept，我们不能将其同源性定义为捆捆同源的形式偶。细胞cosheaf是从CW复合物的脸部到Abelian群体的抗逆函数。我们表明，鉴于一个细胞cosheaf $ f $，有一种自然的方法可以将cosheaf $ \ widehat {f} $关联，我们可以将同源性定义为链条的形式上的同源性，使得$ f $的borel-moore同源性与$ \ wide $ w ford f ynoppy nsimple n sight f in f off f $ f $ nsimial n n offer n off f ford f}
A cosheaf is the dual notion of a sheaf, but we cannot define its homology as the formal dual of sheaf cohomology, in general, because of the lack of the cosheafification. A cellular cosheaf is a contravariant functor from the face poset of a CW complex to the category of abelian groups. We show that given a cellular cosheaf $F$, there is a natural way to associate a cosheaf $\widehat{F}$, for which we can define homology as the formal dual of sheaf cohomology, such that the Borel-Moore homology of $F$ is isomorphic to the homology of $\widehat{F}$ whenever the underlying CW complex of $F$ is a simplicial complex.
