We prove a necessary and sufficient condition of the topological equivalence of smooth functions with finitely many local extrema defined on a circle.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 6, pp. 829–836, June, 2008.
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Yurchuk, I.A. Combinatorial aspects of the topological classification of functions on a circle. Ukr Math J 60, 967–976 (2008). https://doi.org/10.1007/s11253-008-0102-z
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DOI: https://doi.org/10.1007/s11253-008-0102-z