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Bibliographic Details
Main Authors: Caputi, Luigi, Celoria, Daniele, Collari, Carlo
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.18778
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Table of Contents:
  • We establish an isomorphism between the 0-degree überhomology 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 überhomology groups detect the standard simplex, and that the double homology's diagonal is related to the connected domination polynomial.