Abstract
We obtain conditions under which the Morse functions defined on surfaces are smooth equivalent and functions with isolated critical (singular) points are topologically equivalent.
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Sharko, V.V. Smooth and Topological Equivalence of Functions on Surfaces. Ukrainian Mathematical Journal 55, 832–846 (2003). https://doi.org/10.1023/B:UKMA.0000010259.21815.d7
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DOI: https://doi.org/10.1023/B:UKMA.0000010259.21815.d7