Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle

  • O. O. Prishlyak

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.
Published
25.10.2000
How to Cite
PrishlyakO. O. “Conjugacy of Morse Functions on Surfaces With Values on a Straight Line and Circle”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 10, Oct. 2000, pp. 1421-5, https://umj.imath.kiev.ua/index.php/umj/article/view/4547.
Section
Short communications