论文标题
多面体紧凑型，i
Polyhedral compactifications, I
论文作者
论文摘要
在这项工作中，我们通过非对称度量标准和非对称的多面体规范来描述度量空间和有限的尺寸实际矢量空间的呼吸功能压实，即通过非标准方法，即手头空间的超能力。矢量空间的多面体压实载有分层空间的结构，地层由多面体单位球的双面索引。提供了明确的邻里基础和呼吸功能的描述。
In this work we describe horofunction compactifications of metric spaces and finite dimensional real vector spaces through asymmetric metrics and asymmetric polyhedral norms by means of nonstandard methods, that is, ultrapowers of the spaces at hand. The polyhedral compactifications of the vector spaces carry the structure of stratified spaces with the strata indexed by dual faces of the polyhedral unit ball. Explicit neighborhood bases and descriptions of the horofunctions are provided.
