Work

Merging boundary critical points of a Morse function

Year: 2025

Type: article

Abstract: 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.

Source: Proceedings of the American Mathematical Society Series B

DOI: 10.1090/bproc/249

Authors: Maciej Borodzik, Marcin Mielniczuk

Institution: University of Warsaw

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $750

Funder: Narodowe Centrum Nauki