Approximation of maps into spheres by regulous maps
classification
🧮 math.AG
keywords
mapsregulousalgebraicapproximatedapproximationcompactcontinuousdimension
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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 regulous map. This strengthens and generalizes previously known results.
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