论文标题

横齿孔

The crosscut poset

论文作者

Ottina, Miguel

论文摘要

我们介绍了一种新的组合不变式,我们称之为横切poset,它比横切综合体更细。我们展示了横切poset的许多应用,其中包括对Björner的横切定理的概括以及有关固定点属性和固定单纯属性的两个结果。

We introduce a new combinatorial invariant, which we call crosscut poset, that is finer than the crosscut complex. We exhibit many applications of the crosscut poset which include a generalization of Björner's crosscut theorem and two results concerning the fixed point property and the fixed simplex property.

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