Supplement and Erratum to “Algebraic degeneracy of non-Archimedean analytic maps” [Indag. Math. (N.S.) 19 (2008) 481-492]

Our work An et al. (2008) consisted of two main sections. Section 2 concerned non-Archimedean analytic maps to semi-Abelian varieties, and the results of that section are correct, as written. Section 3 concerned non-Archimedean analogs of the work of Noguchi and Winkelmann (2002). Unfortunately, Noguchi and Winkelmann (2002) contains an error, first noticed by Aaron Levin, that we replicated into our work as well. Thus, some of the results in Section 3 of our work are incorrect as stated there, while others require corrected proofs, which we describe in detail here. We also incorporate ideas from work that has appeared since our original paper to obtain a stronger conclusion for one of our results.