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On the products of Nash subvarieties by spheres |
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| Authors: | Alessandro Tancredi Alberto Tognoli |
| Institution: | Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli, 1, 06123 Perugia (PG), Italy ; Dipartimento di Matematica, Università di Trento, Via Sommarive, 58, 38050 Povo (TN), Italy |
| 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  is Nash isomorphic to a real algebraic variety. |
| Keywords: | Nash function global Nash subvariety |
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