由复合体产生的非常维数论
Extraordinary dimension theories generated by complexes
摘要：
研究了Ščepin引入的特殊维数函数dim_{L}.得到了该维数函数的一个公理化刻画。我们还介绍了归纳维数ind_{L}和Ind_{L}，并证明了可分度量化空间的所有三个重合。几个结果，如表征dim_{L}的分区和映射到$n$维立方体。我们还证明了相反的Dranishnikov-Uspenskij定理的维数上升的地图。
英文摘要：
We study the extraordinary dimension function dim_{L} introduced by Ščepin. An axiomatic characterization of this dimension function is obtained. We also introduce inductive dimensions ind_{L} and Ind_{L} and prove that for separable metrizable spaces all three coincide. Several results such as characterization of dim_{L} in terms of partitions and in terms of mappings into $n$-dimensional cubes are presented. We also prove the converse of the Dranishnikov-Uspenskij theorem on dimension-raising maps.
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