Approximation of maps into spheres by regulous maps |
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Authors: | Maciej Zieliński |
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Affiliation: | 1.Institute of Mathematics, Faculty of Mathematics and Computer Science,Jagiellonian University,Kraków,Poland |
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Abstract: | Let X be a compact real algebraic set of dimension n. We prove that every Euclidean continuous map from X into the unit n-sphere can be approximated by a regulous map. This strengthens and generalizes previously known results. |
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