2009-10-01Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.024
Rational maps in real algebraic geometry
The paper deals with rational maps between real algebraic sets. We are interested in the rational maps which extend to continuous maps defined on the entire source space. In particular, we prove that every continuous map between unit spheres is homotopic to a rational map of such a type. We also establish connections with algebraic cycles and vector bundles.
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