Embedding complexes into pseudomanifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909012769898496 |
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| author | Jankiewicz, Kasia Schreve, Kevin |
| author_facet | Jankiewicz, Kasia Schreve, Kevin |
| contents | We show that for $d\geq 2$ every finite $d$-dimensional simplicial complex is a deformation retract of a $(2d-1)$-dimensional pseudomanifold with boundary. Moreover, it embeds as a retract in a closed $(2d-1)$-dimensional pseudomanifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Embedding complexes into pseudomanifolds Jankiewicz, Kasia Schreve, Kevin Geometric Topology 57Q35 We show that for $d\geq 2$ every finite $d$-dimensional simplicial complex is a deformation retract of a $(2d-1)$-dimensional pseudomanifold with boundary. Moreover, it embeds as a retract in a closed $(2d-1)$-dimensional pseudomanifold. |
| title | Embedding complexes into pseudomanifolds |
| topic | Geometric Topology 57Q35 |
| url | https://arxiv.org/abs/2605.02887 |