A Geometric Interpretation of Ranicki Duality
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910900552728576 |
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| author | Connolly, Frank |
| author_facet | Connolly, Frank |
| contents | Our main theorem provides an $(R,K)$ chain isomorphism: $ TΔ^*X\cong C(X_K) $. Here $T$ is the Ranicki Duality functor; $Δ^*X$ is the simplicial cochain complex of the simplicial complex $X$, with control map $π:X \to K$ and $C(X_K) $ is the cellular chain complex of a CW complex $X_K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_10160 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Geometric Interpretation of Ranicki Duality Connolly, Frank Geometric Topology 57R67 (primary), 19J25 (secondary) Our main theorem provides an $(R,K)$ chain isomorphism: $ TΔ^*X\cong C(X_K) $. Here $T$ is the Ranicki Duality functor; $Δ^*X$ is the simplicial cochain complex of the simplicial complex $X$, with control map $π:X \to K$ and $C(X_K) $ is the cellular chain complex of a CW complex $X_K$. |
| title | A Geometric Interpretation of Ranicki Duality |
| topic | Geometric Topology 57R67 (primary), 19J25 (secondary) |
| url | https://arxiv.org/abs/2203.10160 |