关于二维多面体的PL可塌缩覆盖的几点注记
Some remarks on PL collapsible covers of 2-dimensional polyhedra
摘要：
根据PL可折叠多面体的最小覆盖尺寸，分析了二维多面体的拓扑和几何。我们提供了部分特征的多面体的尺寸2，可以分解为工会的两个PL可折叠的子多面体在其简单的同伦类型和某些局部性质。在这个过程中，一类特殊的二维多面体自然出现。我们给出了这类空间的组合描述，它包括所有的闭曲面和与单关系子表示相关的复形。
英文摘要：
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a cover by PL collapsible polyhedra. We provide partial characterizations of the polyhedra of dimension 2 that can be decomposed as the union of two PL collapsible subpolyhedra in terms of their simple homotopy type and certain local properties. In the process, a special class of polyhedra of dimension 2 appears naturally. We give a combinatorial description of the spaces in this class, which includes all closed surfaces and the complexes associated to one-relator presentations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
