标题： 在超同调与双重同调之间的桥梁 显示英文标题

标题： Bridging between überhomology and double homology

摘要： 我们通过Mayer-Vietoris谱序列论证，建立了0度überhomology与有限单纯复形的双同调之间的同构。 我们通过提供示例和一些结果来澄清这些理论之间的对应关系；特别是，我们证明überhomology群能够检测标准单形，并且双同调的对角线与连通支配多项式有关。 显示英文摘要

摘要： We establish an isomorphism between the 0-degree \"uberhomology and the double homology of finite simplicial complexes, using a Mayer-Vietoris spectral sequence argument. We clarify the correspondence between these theories by providing examples and some consequences; in particular, we show that \"uberhomology groups detect the standard simplex, and that the double homology's diagonal is related to the connected domination polynomial.