TY - JOUR
AU - B. I. Hladysh
AU - O. O. Prishlyak
PY - 2019/08/25
Y2 - 2022/10/06
TI - Deformations in the general position of the optimal functions
on oriented surfaces with boundary
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 8
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1495
AB - UDC 516.91 It is considered simple functions with non-degenerated singularities on smooth compact oriented surfaces with the boundary.Authors describe a connection between optimality and polarity of Morse functions, $m$-functions and $mm$-functions on smooth compact oriented connected surfaces. The concept of an equipped Kronrod – Reeb graph is used to define a deformation in general position. Also, it is obtained the whole list of deformations of simple functions of one of abovedescribed class on torus, 2-dimensional disc with the boundary and on connected sum of two toruses.
ER -