Let X be a topological space and Xn the Cartesian product. Let G be a group of permutation of the number （1, 2, …, n）. The group G acts on Xn as a group of homeomorphism by definition, for g∈G and The orbit space ...Let X be a topological space and Xn the Cartesian product. Let G be a group of permutation of the number （1, 2, …, n）. The group G acts on Xn as a group of homeomorphism by definition, for g∈G and The orbit space under the action G is denoted by Xn=Xn/G and is said to be the nth symmetrlc product space.展开更多
文摘Let X be a topological space and Xn the Cartesian product. Let G be a group of permutation of the number （1, 2, …, n）. The group G acts on Xn as a group of homeomorphism by definition, for g∈G and The orbit space under the action G is denoted by Xn=Xn/G and is said to be the nth symmetrlc product space.
