$PD_3$-pairs with compressible boundary
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866911682057469952 |
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| author | Hillman, Jonathan A. |
| author_facet | Hillman, Jonathan A. |
| contents | We extend work of Turaev and Bleile to relax the $π_1$-injectivity hypothesis in the characterization of the fundamental triples of $PD_3$-pairs with aspherical boundary components. This is further extended to pairs $(P,\partial{P})$ which also have spherical boundary components and with $c.d.π_1(P)\leq2$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2006_08057 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $PD_3$-pairs with compressible boundary Hillman, Jonathan A. Geometric Topology Algebraic Topology 57P10 We extend work of Turaev and Bleile to relax the $π_1$-injectivity hypothesis in the characterization of the fundamental triples of $PD_3$-pairs with aspherical boundary components. This is further extended to pairs $(P,\partial{P})$ which also have spherical boundary components and with $c.d.π_1(P)\leq2$. |
| title | $PD_3$-pairs with compressible boundary |
| topic | Geometric Topology Algebraic Topology 57P10 |
| url | https://arxiv.org/abs/2006.08057 |