论文标题
在一对Mayer-Vietoris函子上
On a pair of extensions of Mayer-Vietoris functors
论文作者
论文摘要
本文的目的是将Mayer-Vietoris函子（例如，空间的同源性或协同学理论）的一对规范扩展到空间的辅助者。在本文中，其中一个称为Cospanical扩展，与Abelian Dijkgraaf-Witten-Freed-Quinn模型的经典理论部分密切相关。我们通过揭示COSPAN类别的CW空间类别的部分普遍性来得出这些扩展，这是COBORDISM类别的同型理论类似物。
The purpose of this paper is to give a pair of canonical extensions of Mayer-Vietoris functors (e.g. homology or cohomology theories of spaces) to cospans of spaces. One of the pair, called cospanical extension in this paper, is closely related with the classical theory part of abelian Dijkgraaf-Witten-Freed-Quinn model and bicommutative Turaev-Viro-Barrett-Westbury model. We derive those extensions by revealing a partial universality of a cospan category of CW-spaces which is a homotopy-theoretic analogue of cobordism categories.
