Groups of Wraps and Diffeomorphisms of Manifolds Over Non-archimedean Normed Fields

摘要

The article is devoted to the investigation of groups of diffeomorphisms and wraps of manifolds over non-archimedean fields of zero and positive characteristics. Different types of topologies are considered on groups of wraps and diffeomorphisms relative to which they are generalized Lie groups or topological groups. Among such topologies pairwise incomparable are found as well. Topological perfectness of the diffeomorphism group relative to certain topologies is studied. There are proved theorems about projective limit decompositions of these groups and their compactifications for compact manifolds. Moreover, an existence of one-parameter local subgroups of diffeomorphism groups is investigated.