Homology of real algebraic varieties and morphisms to spheres
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Abstract:
Let $X$ and $Y$ 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 $Y$ is the standard sphere $S^n$.References
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Additional Information
- Alı̇ Öztürk
- Affiliation: Department of Mathematics, Abant İzzet Baysal University, 14280 Bolu, Turkey
- Email: ozturkali@ibu.edu.tr
- Received by editor(s): November 10, 2005
- Received by editor(s) in revised form: March 2, 2008
- Published electronically: September 15, 2008
- Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 505-509
- MSC (2000): Primary 14P25; Secondary 14P05
- DOI: https://doi.org/10.1090/S0002-9939-08-09600-7
- MathSciNet review: 2448570