Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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L. Caputi - D. Celoria - C. Collari

Bridging between ├╝berhomology and double homology

created by collari on 28 Jun 2024

[BibTeX]

preprint

Inserted: 28 jun 2024
Last Updated: 28 jun 2024

Year: 2024

ArXiv: 2406.18778 PDF

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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