Simplifying certain mappings from simply connected 4-manifolds into the plane (Q1210370)
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scientific article; zbMATH DE number 179092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simplifying certain mappings from simply connected 4-manifolds into the plane |
scientific article; zbMATH DE number 179092 |
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Simplifying certain mappings from simply connected 4-manifolds into the plane (English)
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3 July 1994
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The author studies the problem: to what extent can we simplify mappings between manifolds? He studies this for simple stable mappings (for definition, see the original paper) from closed simply connected 4- manifolds into the plane. He finds some relations between the number of the connected components of the set of singular points of \(f\) and the second Betti number of the source manifold. He also gets more information about this problem.
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simple stable mappings from closed simply connected 4-manifolds into the plane
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connected components of the set of singular points
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second Betti number of the source manifold
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