Homology of real algebraic varieties and morphisms to spheres
Homology of real algebraic varieties and morphisms to spheres
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 …