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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homology of real algebraic varieties and morphisms to spheres
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by Alı̇ Öztürk PDF
Proc. Amer. Math. Soc. 137 (2009), 505-509 Request permission

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
  • 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