摘要
For a double complex (A, d', d"), we show that if it satisfies the d'd"- lemma and the spectral sequence {E p,q r } induced by A does not degenerate at E 0 , then it degenerates at E 1 . We apply this result to prove the degeneration at E 1 of a Hodge-de Rham spectral sequence on compact bi-generalized Hermitian manifolds that satisfy a version of d'd"-lemma.