Merging boundary critical points of a Morse function
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.
Authors
- Marcin Mielniczuk
- Maciej Borodzik (ORCID: https://orcid.org/0000-0002-1101-6724)
Institutions
- Institute of Mathematics (PL)
- University of Warsaw (PL)
Publication Details
- Journal
- Proceedings of the American Mathematical Society Series B
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1090/bproc/249
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Narodowe Centrum Nauki