The 4-dimensional disc embedding theorem and dual spheres
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866914183127236608 |
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| author | Powell, Mark Ray, Arunima Teichner, Peter |
| author_facet | Powell, Mark Ray, Arunima Teichner, Peter |
| contents | We modify the proof of the disc embedding theorem for $4$-manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to construct geometrically dual spheres. These were claimed in the statement but not constructed in the proof. We also prove Proposition 1.6 from the Freedman-Quinn book regarding generic homotopies of discs or spheres in a 4-manifolds, which was not proven there. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_05209 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The 4-dimensional disc embedding theorem and dual spheres Powell, Mark Ray, Arunima Teichner, Peter Geometric Topology 57K40, 57N35 We modify the proof of the disc embedding theorem for $4$-manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to construct geometrically dual spheres. These were claimed in the statement but not constructed in the proof. We also prove Proposition 1.6 from the Freedman-Quinn book regarding generic homotopies of discs or spheres in a 4-manifolds, which was not proven there. |
| title | The 4-dimensional disc embedding theorem and dual spheres |
| topic | Geometric Topology 57K40, 57N35 |
| url | https://arxiv.org/abs/2006.05209 |