Where H is a subgroup of a topological group G. The Second is that we have proved that the annibilator A of H is an open subgroup of the dual group G when G is a locally compact abelian group and H is its compact group.

• 其次证明了当G是一个局部紧交换群且H是它的紧子群时,H的零化子A是对偶群G的开子群。