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arXiv · 2406.18778

Bridging between \"uberhomology and double homology

Luigi Caputi·Daniele Celoria·Carlo Collari
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Abstract

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.

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Luigi Caputi, Daniele Celoria, Carlo Collari. 2024-06-26. Bridging between \"uberhomology and double homology. https://arxiv.org/abs/2406.18778

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