Merging boundary critical points of a Morse function
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913565011607552 |
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| author | Borodzik, Maciej Mielniczuk, Marcin |
| author_facet | Borodzik, Maciej Mielniczuk, Marcin |
| contents | In 2015, Borodzik, Némethi and Ranicki proved that an interior critical point can be pushed to the boundary, where it splits into two boundary critical points. In this paper, we show that two critical points at the boundary can be, under specific assumptions, merged into a single critical point in the interior. That is, we reverse the original construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11024 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Merging boundary critical points of a Morse function Borodzik, Maciej Mielniczuk, Marcin Geometric Topology 57R40 In 2015, Borodzik, Némethi and Ranicki proved that an interior critical point can be pushed to the boundary, where it splits into two boundary critical points. In this paper, we show that two critical points at the boundary can be, under specific assumptions, merged into a single critical point in the interior. That is, we reverse the original construction. |
| title | Merging boundary critical points of a Morse function |
| topic | Geometric Topology 57R40 |
| url | https://arxiv.org/abs/2304.11024 |