Symmetric product (topology)
= Symmetric product (topology)
{wiki=Symmetric_product_(topology)}
In topology, the symmetric product of a topological space \\( X \\), denoted as \\( S^n(X) \\), is a way to construct a new space from \\( X \\) that encodes information about \\( n \\)-tuples of points in \\( X \\) while factoring in the notion of indistinguishability of points.