矩阵束的正则化分解与线性映射对的拓扑分类
Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
摘要：
本文给出了一种构造矩阵束正则化分解的方法，它是用线性映射表示的。我们证明了两个束是拓扑等价的当且仅当它们的正则化分解重合的置换的和它们的正则部分重合的同胚空间。
英文摘要：
We give a method for constructing a regularizing decomposition of a matrix pencil, which is formulated in terms of the linear mappings. We prove that two pencils are topologically equivalent if and only if their regularizing decompositions coincide up to permutation of summands and their regular parts coincide up to homeomorphisms of their spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
