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ISSN 1088-6826(e) ISSN 0002-9939(p)

Homology of real algebraic varieties and morphisms to spheres

Author(s): Ali Öztürk
Journal: Proc. Amer. Math. Soc. 137 (2009), 505-509.
MSC (2000): Primary 14P25; Secondary 14P05
Posted: September 15, 2008
MathSciNet review: 2448570
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Abstract: Let and be affine nonsingular real algebraic varieties. One of the classical problems in real algebraic geometry is whether a given $C^\infty$ mapping $f:X\rightarrow Y$ can be approximated by entire rational mappings in the space of $C^\infty$ mappings. In this work, we obtain some sufficient conditions in the case when is the standard sphere .

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Additional Information:

Ali Öztürk
Affiliation: Department of Mathematics, Abant Izzet Baysal University, 14280 Bolu, Turkey
Email: ozturkali@ibu.edu.tr

DOI: 10.1090/S0002-9939-08-09600-7
PII: S 0002-9939(08)09600-7
Keywords: Real algebraic varieties, algebraic homology, regular morphisms
Received by editor(s): November 10, 2005,
Received by editor(s) in revised form: March 2, 2008
Posted: September 15, 2008
Communicated by: Ted Chinburg
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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