Regular versus continuous rational maps |
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Authors: | Wojciech Kucharz |
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Institution: | Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, ?ojasiewicza 6, 30-348 Kraków, Poland |
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Abstract: | We prove that a continuous map from a compact nonsingular real algebraic variety X into the unit 2-sphere can be approximated by regular maps if and only if it is homotopic to a continuous map which is regular in the complement of a Zariski closed subvariety A of X of codimension at least 3. The assumption on the codimension of A is essential. |
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Keywords: | 14P05 14P25 |
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