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In the course of a project I am developing I have to use a classical result in topological graph theory due to Wagner in which Wagner gives the precise structure of graphs in which $K_5$ is excluded as a minor.

The result (which follows the lines of his proof when excluding $K_5$ and $K_{3,3}$) is in german in the original paper of Wagner (see reference here). So my question is that if someone knows if there exists a modern version of this result and, if possible, in English.

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A text book reference is Graph Decompositions: A Study in Infinite Graph Theory by Reinhard Diestel (1990), see chapter 6.

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