If K,G are finite abstract simplicial complexes and K is a subcomplex of G then the eigenvalues of the Hodge Laplacian of K are smaller or equal than the eigenvalues of the Hodge Laplacian of G, provided the eigenvalue lists are padded left.
翻译:如果K和G是有限抽象单纯复形,且K是G的子复形,则在对特征值列表进行左补零处理后,K的Hodge拉普拉斯算子的特征值不大于G的Hodge拉普拉斯算子的特征值。