论文标题
contractible_spaces，数字拓扑中的同型等效性和同构性
Contractible_Spaces, Homotopy Equivalence and Homeomorphism in Digital Topology
论文作者
论文摘要
本文简要概述了合同数字空间领域的主要结果以及数字空间的合同转换，并包含了新的结果。我们介绍了新型的合约数字空间，例如锥体和双锥。基于此，我们将新的可缩度转换介绍为覆盖数字空间的同质性转换，等同于第一个。我们将这些转换组合在一起，并获得6种类型的违约转换。这些转换可用于将封闭的数字n维歧管转换为第一个封闭的n维歧管同构。
This article provides a brief overview of the main results in the field of contractible digital spaces and contractible transformations of digital spaces and contains new results. We introduce new types of contractible digital spaces such as the cone and the double cone. Based on this, we introduce new contractible transformations that covert the digital space into a homotopy equivalent to the first one. We group together these transformations and get 6 types of contractible transformations. These transformations can be used to convert a closed digital n-dimensional manifold into another closed n-dimensional manifold homeomorphic to the first one.
