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A. A'Campo-Neuen and J. Hausen gave an example of an algebraic torus actionon an open subset of the affine four space that admits no quotient in thecategory of algebraic varieties. We show that this example admits a quotient inthe category of dense constructible subsets and thereby answer a question of A.Bialynicki-Birula.

A categorical quotient in the category of dense constructible subsets