论文标题
正常的交叉浸入,辅助和翻转
Normal crossing immersions, cobordisms and flips
论文作者
论文摘要
我们研究了立方体复合物中PL拓扑的定理的各种类似物。特别是,我们表征了何时两个PL同构肘被帕赫纳(Pachner)移动,表明该问题等同于Hypersurfaces的通用沉浸液之间存在的共同存在。这解决了Habegger和Funar的问题和猜想。
We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves by showing the question to be equivalent to the existence of cobordisms between generic immersions of hypersurfaces. This solves a question and conjecture of Habegger and Funar.