(150107) l : ApGq Ñ ApGq bApGq wrong sketch: If V is doubly filtered, the associated graded of the diagonally-associated single filtration of V is isomorphic to the diagonal single-gradation of the associated doubly-graded of V . False. Take V Qxx, yy, F0,0 F1,0 F0,1 V , F2,0 xxy, F1,1 F0,2 xyy. Then 0 xrxsy V1,0 ` V0,1 V1 0. ApG Hq ApGqbApHq as the associated single filtration of the double fi...