Non-smooth points set of fibres of a semialgebraic mapping (Q2468445)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-smooth points set of fibres of a semialgebraic mapping |
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Non-smooth points set of fibres of a semialgebraic mapping (English)
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23 January 2008
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The authors consider semialgebraic mappings between semialgebraic sets and define a singular set of points at which the fiber is not smooth. They obtain several interesting properties of the singular set. The main result of the paper states that the singular set is semialgebraic and under some mild conditions it is of codimension at least two. The paper is pleasant to read and contains good illustrative examples.
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semialgebraic set
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semialgebraic mapping
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Nash manifold
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semialgebraic triviality
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