Abstract
We investigate the conjugacy of Morse functions on closed surfaces. By using cellular decompositions of surfaces, we formulate a criterion for the conjugacy of Morse functions. We establish a criterion for the conjugacy of mappings into a circle with nondegenerate critical points.
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Prishlyak, A.O. Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle. Ukrainian Mathematical Journal 52, 1623–1627 (2000). https://doi.org/10.1023/A:1010461319703
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DOI: https://doi.org/10.1023/A:1010461319703