Neighborhoods of algebraic sets
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- by Alan H. Durfee PDF
- Trans. Amer. Math. Soc. 276 (1983), 517-530 Request permission
Abstract:
In differential topology, a smooth submanifold in a manifold has a tubular neighborhood, and in piecewise-linear topology, a subcomplex of a simplicial complex has a regular neighborhood. The purpose of this paper is to develop a similar theory for algebraic and semialgebraic sets. The neighborhoods will be defined as level sets of polynomial or semialgebraic functions.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 276 (1983), 517-530
- MSC: Primary 32B20; Secondary 14G30, 32B25
- DOI: https://doi.org/10.1090/S0002-9947-1983-0688959-3
- MathSciNet review: 688959