TY - JOUR AU - B. I. Hladysh AU - O. O. Prishlyak PY - 2019/08/25 Y2 - 2024/03/28 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 - https://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 -