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Infinite-dimensional 4-manifold of finite cohomological dimension under the continuum hypothesis |
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| Authors: | A V Karasev |
| Institution: | (1) M. V. Lomonosov Moscow State University, Moscow, USSR |
| Abstract: | 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. Translated fromMatematicheskie Zametki, Vol. 66, No. 5, pp. 664–670, November, 1999. |
| Keywords: | smooth manifold continuum hypothesis cohomological dimension hereditary separability perfect normality local bicompactness bicompact set Menger curve |
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