有限空间的单点约化，h-正则CW-复形和可约性
One-point reductions of finite spaces, h-regular CW-complexes and collapsibility
摘要：
研究有限拓扑空间的一点约化方法。这些方法允许人们通过有限模型的基本移动来研究胞腔复形的同伦理论。我们还引入了h-正则CW-复形的概念，推广了正则CW-复形的概念，并证明了h-正则CW-复形是一类组合的上同伦对象，它是由它们的有限空间所模化的（上同伦）.这是通过推广McCord关于单纯复形的一个经典结果而实现的。
英文摘要：
We investigate one-point reduction methods of finite topological spaces. These methods allow one to study homotopy theory of cell complexes by means of elementary moves of their finite models. We also introduce the notion of h-regular CW-complex, generalizing the concept of regular CW-complex, and prove that the h-regular CW-complexes, which are a sort of combinatorial-up-to-homotopy objects, are modeled (up to homotopy) by their associated finite spaces. This is accomplished by generalizing a classical result of McCord on simplicial complexes.
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