%0 Journal Article %A Katsuhiko Kuribayashi %T The ghost length and duality on the chain and cochain type levels %J Homology, homotopy, and applications %D 2016 %P 107-132 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a6/ %R 10.4310/HHA.2016.v18.n2.a6 %G en %F HHA_2016_18_2_a5