Connected components of regular fibers of differentiable maps (Q2930206)
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scientific article
| Language | Label | Description | Also known as |
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| English | Connected components of regular fibers of differentiable maps |
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Connected components of regular fibers of differentiable maps (English)
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18 November 2014
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Stein factorization
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An important tool of studying global properties of smooth maps between manifolds is their Stein factorization. The Stein factorization \(W_f\) of a map \(f\) is the space of connected components of its fibers. The paper proves the following theorem. If a connected component of a fiber is not 0-cobordant then the top homology of \(W\) does not vanish. In fact the authors give two versions of this theorem, one with unoriented, and in oriented settings. In addition they provide illuminating examples.NEWLINENEWLINEFor the entire collection see [Zbl 1291.32001].
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