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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.21486 |
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Table of Contents:
- We describe explicitely the unique isomorphism $\mathrm{H}_{sin}^*(X,\underline{\mathbb{Z}})\xrightarrow{\sim} \check{\mathrm{H}}_{\mathcal{U}}^*(X,\underline{\mathbb{Z}})$ between the cohomologies computed with the singular and Čech acyclic sheaf resolutions as the evaluation, up to sign, of singular cohomology classes at the simplices of the Čech nerve $N\mathcal{U}$ through a homotopy equivalence $N\mathcal{U}\to X$.