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Polynomial images of Rn

✍ Scribed by José F. Fernando; J.M. Gamboa


Book ID
104152556
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
229 KB
Volume
179
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis


Let R be a real closed ÿeld and n ¿ 2. We prove that: (1) for every ÿnite subset F of R n , the semialgebraic set R n \ F is a polynomial image of R n ; and (2) for any independent linear forms l1; : : : ; lr of R n , the semialgebraic set {l1 ¿ 0; : : : ; lr ¿ 0} ⊂ R n is a polynomial image of R n .


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