Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

L. Caputi - D. Celoria - C. Collari

Bridging between ├╝berhomology and double homology

created by collari on 28 Jun 2024



Inserted: 28 jun 2024
Last Updated: 28 jun 2024

Year: 2024

ArXiv: 2406.18778 PDF


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.

Credits | Cookie policy | HTML 5 | CSS 2.1