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A separation theorem in dimension 3

Published online by Cambridge University Press:  22 January 2016

F. Acquistapace
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy, E-mail: acquistf@dm.unipi.it, broglia@dm.unipi.it, fortuna@dm.unipi.it
F. Broglia
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy, E-mail: acquistf@dm.unipi.it, broglia@dm.unipi.it, fortuna@dm.unipi.it
E. Fortuna
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy, E-mail: acquistf@dm.unipi.it, broglia@dm.unipi.it, fortuna@dm.unipi.it
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Let M be a compact non-singular real affine algebraic variety and let A, B be open disjoint semialgebraic subsets of M. Define (where —4 denotes the Zariski closure).

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

[AcBg] Acquistapace, F., Broglia, F., More about signatures and approximation, Geometriae Dedicata, 50 (1994), 107116.CrossRefGoogle Scholar
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[AnBrRz] Andradas, C., Bröcker, L., Ruiz, J. M., Constructible sets in real geometry, (1996), Erg. Math. 33, Springer-Verlag.Google Scholar
[BoCRy] Bocknak, J., Coste, M., Roy, M. F., Géométrie algébrique réelle, (1987), Springer-Verlag, Berlin-Heidelberg-New York.Google Scholar
[Br1] Bröcker, L., On the separation of basic semialgebraic sets by polynomials, Manuscripta Math., 60 (1988), 497508.CrossRefGoogle Scholar
[Br2] Bröcker, L., On basic semialgebraic sets, Exp. Math., 9 (1991), 289334.Google Scholar
[F] Fortuna, E., Distribution de signes, Mathematika, 38 (1991), 5062.CrossRefGoogle Scholar
[P] Pernazza, L., Decidability of the separation problem in dim 2, to appear.Google Scholar
[Rz] Ruiz, J. M., A note on a separation problem, Arch. Math., 43 (1984), 422426.CrossRefGoogle Scholar
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