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On 4-dimensional universe for every 3-dimensional manifold - MaRDI portal

On 4-dimensional universe for every 3-dimensional manifold (Q897440)

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scientific article; zbMATH DE number 6522014
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On 4-dimensional universe for every 3-dimensional manifold
scientific article; zbMATH DE number 6522014

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    On 4-dimensional universe for every 3-dimensional manifold (English)
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    18 December 2015
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    A universe in the present context is a connected, open, orientable 4-manifold in which every connected closed orientable 3-manifold embeds. There is a parallel notion of punctured universe, in which every connected, orientable, punctured 3-manifold embeds. This paper investigates algebraic necessary conditions on such universes, and on several refinements which take into account whether or not every 3-manifold embeds in a non-separating manner.
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    embedding
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    4-manifold
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    3-manifold
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    punctured
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    universe
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