We show that the product of any sphere by any compact connected component of a real algebraic variety is Nash isomorphic to a real algebraic variety and we deduce such a result for some non-compact components too. It follows also that the product of any sphere by any compact global Nash subvariety of $\mathbb R^n$ is Nash isomorphic to a real algebraic variety.
On the products of Nash subvarieties by spheres
TANCREDI, Alessandro;
2005
Abstract
We show that the product of any sphere by any compact connected component of a real algebraic variety is Nash isomorphic to a real algebraic variety and we deduce such a result for some non-compact components too. It follows also that the product of any sphere by any compact global Nash subvariety of $\mathbb R^n$ is Nash isomorphic to a real algebraic variety.File in questo prodotto:
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