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On uniqueness of Cartesian products of surfaces with boundary

机译:有边界曲面的笛卡尔积的唯一性

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摘要

It is known that if one of the factors of a decomposition of a manifold into Cartesian product is an interval then the decomposition is not unique. We prove that the decomposition of a 4-manifold (possibly with boundary) into 2-dimensional factors is unique, provided that the factors are not products of 1-manifolds.
机译:已知如果歧管分解为笛卡尔积的因素之一是区间,则分解不是唯一的。我们证明了将4个歧管(可能带有边界)分解成2维因子是唯一的,前提是这些因子不是1个歧管的乘积。

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