%0 Journal Article
%T Analytification is the limit of all tropicalizations
%A Sam Payne
%J Mathematics
%D 2008
%I arXiv
%X We introduce extended tropicalizations for closed subvarieties of toric varieties and show that the analytification of a quasprojective variety over a nonarchimedean field is naturally homeomorphic to the inverse limit of the tropicalizations of its quasiprojective embeddings.
%U http://arxiv.org/abs/0805.1916v3