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.



Titolo: On the products of Nash subvarieties by spheres
Autori: 
TANCREDI, Alessandro
mostra contributor esterni 
Data di pubblicazione: 2005
Rivista: 
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY  
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.
Handle: http://hdl.handle.net/11391/21043
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11391/21043
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