Geodesic
Classification of coverings of the circle
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 96-101.

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We obtain a classification of $d$-coverings of degree $d\geq2$ of the circle $S^1$ up to conjugation by orientation-preserving homeomorphisms. We show that being equipped with a scheme, the $d$-equivalence class of an invariant countable set (distinguished set) of the linear expanding endomorphism of degree $d$ is a complete classification invariant. 
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E. V. Zhuzhoma; N. V. Isaenkova. Classification of coverings of the circle. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 96-101. http://geodesic.mathdoc.fr/item/TM_2012_278_a8/

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