发表机构
University of Washington（华盛顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究相对挤压球及其边界复形的可剥壳性问题，通过证明其可剥壳，给出明确剥壳顺序并刻画限制面，为这类新复形建立强大组合结构。
AI 中文摘要
由卡莱引入的挤压球与球体，构成了一类丰富的三角剖分复形，源自循环多面体的子复形，具有已知的可剥壳性。诺维克和郑引入了相对挤压球，即挤压球的差，并用于构建大量高度邻接的单纯球体。虽然已知这些复形是可构造的，但其可剥壳性仍未解决。本文通过证明相对挤压球及其边界复形都是可剥壳的来解决此问题。我们给出了明确的剥壳顺序并刻画了限制面，从而为这类新的复形建立了强大的组合结构。
英文摘要
Squeezed balls and spheres, introduced by Kalai, form a rich class of triangulated complexes arising from subcomplexes of cyclic polytopes, with well-understood shellability properties. Recently, Novik and Zheng introduced relative squeezed balls, obtained as differences of squeezed balls, and used them to construct large families of highly neighborly simplicial spheres. While these complexes are known to be constructible, their shellability has remained open. In this paper, we resolve this question by proving that both relative squeezed balls and their boundary complexes are shellable. We provide explicit shelling orders and characterize restriction faces, thereby establishing strong combinatorial structure for this new class of complexes.
Comments20 pages, 5 figures
