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Homology of real algebraic varieties and morphisms to spheres


Author: Ali Öztürk
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
Published electronically: September 15, 2008
MathSciNet review: 2448570
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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$.


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Additional Information

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

DOI: https://doi.org/10.1090/S0002-9939-08-09600-7
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
Published electronically: September 15, 2008
Communicated by: Ted Chinburg
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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