论文标题
连续地图的强形理论
Strong Shape Theory of Continuous Maps
论文作者
论文摘要
这项工作是由论文[BA1]，[BA2]，[BA7]，[BA11]，[BE]和[BE-TU]激励的。特别是，在[BE]和[BE-TU]中定义并研究了强大的连续图的同源组。为了表明给定的组是同源类型函数，需要构建相应的形状类别。在本文中，我们研究了这个问题。特别是，使用[BA7] [BA-TS]中开发的方法。构建了紧凑型公制空间的连续图的强形理论，即所谓的强纤维形状理论。
The work is motivated by the papers [Ba1], [Ba2], [Ba7], [Ba11], [Be] and [Be-Tu]. In particular, the strong homology groups of continuous maps were defined and studied in [Be] and [Be-Tu]. To show that given groups are homology type functor, it was required to construct the corresponding shape category. In this paper, we study this very problem. In particular, using the methods developed in [Ba7], [Ba-Ts]. the strong shape theory of continuous maps of compact metric spaces, so-called strong fiber shape theory is constructed.
