Title: On boundaries of bicombable spaces Show Chinese title

Title: 关于双可组合空间的边界

Abstract: We initiate systematic study of EZ-structures (and associated boundaries) of groups acting on spaces that admit consistent and conical (equivalently, consistent and convex) geodesic bicombings. Such spaces recently drew a lot of attention due to the fact that many classical groups act `nicely' on them. We rigorously construct EZ-structures, discuss their uniqueness (up to homeomorphism), provide examples, and prove some boundary-related features analogous to the ones exhibited by CAT(0) spaces and groups, which form a subclass of the discussed class of spaces and groups. Show Chinese abstract

Abstract: 我们开始系统研究群在具有一致且锥形（等价地，一致且凸）测地线双射的空间上的结构（以及相关的边界）。由于许多经典群在这些空间上“良好”地作用，这类空间最近引起了广泛关注。我们严格构造EZ-结构，讨论它们的唯一性（同胚意义下），提供例子，并证明一些与CAT(0)空间和群类似的边界相关特性，CAT(0)空间和群是所讨论的空间和群的一个子类。