Self-embeddings of trees

Published 18 Sep 2017 in math.CO | (1709.05891v1)

Abstract: We prove a fix point theorem for monoids of self-embeddings of trees. As a corollary, we obtain a result by Laflamme, Pouzet and Sauer that a tree either contains a subdivided binary tree as a subtree or has a vertex, and edge, an end or two ends fixed by all its self-embeddings.

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Matthias Hamann

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