发表机构
Departamento de Matemática-IMAS, FCEyN, Universidad de Buenos Aires（布宜诺斯艾利斯大学数学系-IMAS，经济科学与学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明有限 Helly 复形的一维骨架同构于其边界的 Hellyfication，为边界刚性现象提供典范内射包解释。
AI 中文摘要
我们证明每个有限 Helly 复形在其 $1$-骨架层面上同构于其组合边界（配备由复形诱导的度量）的 Hellyfication（等价地，离散内射包）。特别地，Blufstein-Chalopin-Chepoi 证明的 Helly 复形的边界刚性现象具有典范的内射包解释，独立于基于拆卸的重构过程。
英文摘要
We prove that every finite Helly complex is isomorphic, at the level of its $1$-skeleton, to the Hellyfication (equivalently, the discrete injective hull) of its combinatorial boundary equipped with the metric induced from the complex. In particular, the boundary-rigidity phenomenon for Helly complexes proved by Blufstein-Chalopin-Chepoi admits a canonical injective-hull interpretation, independent of reconstruction procedures based on dismantling.
Comments7 pages, comments welcome
