Abstract:For each pair (m, n) = (1, 1) of positive integers and an arbitrary field F with its algebraic closure F, let Poly d,m n (F) denote the space of m-tuplesThese spaces were first explicitly defined and studied in an algebraic setting by B. Farb and J. Wolfson, in order to prove algebraic analogues of certain topological results of Arnold, Segal, Vassiliev and others. They possess certain stability properties, which have attracted a considerable interest. We have already proved that homotopy stability holds for t… Show more
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