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.
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Titolo: | On the products of Nash subvarieties by spheres |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Abstract: | We show that the product of any sphere by any compact connected component of a real algebraic var...iety 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. |
Handle: | http://hdl.handle.net/11391/21043 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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