TY - JOUR AU - Katsuhiko Kuribayashi TI - The ghost length and duality on the chain and cochain type levels JO - Homology, homotopy, and applications PY - 2016 SP - 107 EP - 132 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a6/ DO - 10.4310/HHA.2016.v18.n2.a6 LA - en ID - HHA_2016_18_2_a5 ER -