论文标题
数字HOPF建筑
The Digital Hopf Construction
论文作者
论文摘要
在数字环境中已经定义了同型理论中的各种概念和结构。尽管在数字设置中有几次振动的定义尝试过，但这些数字纤维的强大示例很少而且相差甚远。在本文中，我们在公差空间类别内开发了数字HOPF纤维。通过将我们的类别扩大到公差空间，我们能够构建这种数字HOPF纤维化，从而模仿平滑的设置。
Various concepts and constructions in homotopy theory have been defined in the digital setting. Although there have been several attempts at a definition of a fibration in the digital setting, robust examples of these digital fibrations are few and far between. In this paper, we develop a digital Hopf fibration within the category of tolerance spaces. By widening our category to that of tolerance spaces, we are able to give a construction of this digital Hopf fibration which mimics the smooth setting.
