Crossref Citations
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Kucharz, Wojciech
2018.
Piecewise-regular maps.
Mathematische Annalen,
Vol. 372,
Issue. 3-4,
p.
1545.
Published online by Cambridge University Press: 19 December 2014
Let Y be a compact nonsingular real algebraic variety of positive dimension. Then one can find a compact connected nonsingular real algebraic variety X, which admits a continuous map into Y that is not homotopic to any regular map. It is hard to determine the minimum dimension of such a variety X. In this paper, new upper bounds for dim X are obtained. The main role in the constructions is played by complex algebraic cycles on Y.