Infinite-dimensional 4-manifold of finite cohomological dimension under the continuum hypothesis

被引：0
|
作者：
A. V. Karasev
机构：
[1] M. V. Lomonosov Moscow State University,
来源：
Mathematical Notes | 1999年 / 66卷
关键词：
smooth manifold; continuum hypothesis; cohomological dimension; hereditary separability; perfect normality; local bicompactness; bicompact set; Menger curve;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under the assumption of the continuum hypothesis, a differentiable 4-manifoldM of dimension dimM=∞ and cohomological dimension cA—dimM=4 is constructed. The spaceM is perfectly normal and hereditarily separable.
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页码：550 / 555
页数：5
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