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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/2510.10424 |
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| _version_ | 1866915877858836480 |
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| author | Ruiz, Carlos Gabriel Valenzuela |
| author_facet | Ruiz, Carlos Gabriel Valenzuela |
| contents | We present a comparison map between the uberhomology of a simplicial complex $\mathcal{K}$ and the double homology of its associated moment-angle complex $\mathcal{Z}_{\mathcal{K}}$. We show these two homology theories differ at three bidegrees, which depend on whether the complex $K$ is neighbourly or not. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double, über and poset homology Ruiz, Carlos Gabriel Valenzuela Algebraic Topology 55N35 We present a comparison map between the uberhomology of a simplicial complex $\mathcal{K}$ and the double homology of its associated moment-angle complex $\mathcal{Z}_{\mathcal{K}}$. We show these two homology theories differ at three bidegrees, which depend on whether the complex $K$ is neighbourly or not. |
| title | Double, über and poset homology |
| topic | Algebraic Topology 55N35 |
| url | https://arxiv.org/abs/2510.10424 |