Factorizing Dimension-Like Properties of Subsets of Topological Spaces

Factorizing Dimension-Like Properties of Subsets of Topological Spaces
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拓扑空间子集的类维数性质因式分解

DOI:
10.1023/a:1026454125613
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发表时间:
1999
影响因子:
0.9
通讯作者:
V. Gutev
V. Gutev
中科院分区:
数学3区
文献类型:
--
作者:
V. Gutev

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本文讨论了拓扑空间子集类维数性质的分解理论。它是基于一种特殊类型的“尺寸”的空间在其子空间的行为以及相对于因式分解和扩展的连续映射和同意的覆盖维度的闭子集的正常空间。
The paper presents an approach into the factorization theory of properties of dimension-like type for subsets of a topological space. It is based on a special type of "dimension" of a space on its subspaces which behaves well with respect to factorizations and extensions of continuous maps and agrees with the covering dimension of closed subsets of normal spaces.