Smooth and Topological Equivalence of Functions on Surfaces
We obtain conditions under which the Morse functions defined on surfaces are smooth equivalent and functions with isolated critical (singular) points are topologically equivalent.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 5, pp 832-846.
Citation Example: Sharko V. V. Smooth and Topological Equivalence of Functions on Surfaces // Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 687-700.