Swallowtail (film) also nominated for but did not win the following awards: Swallowtail (film) Swallowtail, also known as Swallowtail Butterfly (スワロウテイル "Suwarōteiru"), is a 1996 Japanese crime film directed by Shunji Iwai, starring Hiroshi Mikami, pop-singer Chara, and Ayumi Ito. The film was shot on hand-held cameras using jump cuts and other visual techniques. It covers a wide array of themes and genres, from social realism to coming-of-age to crime. A theme song for the film under "Yen Town Band", titled "Swallowtail Butterfly (Ai no Uta)", gained first place on the Oricon Weekly Singles Chart of October 7, 1996. The film is
Comma category with domain formula_65" in. An object of formula_78 is called a "morphism from formula_4 to formula_80" or a "formula_4-costructured arrow with codomain formula_80" in. Another special case occurs when both formula_4 and formula_5 are functors with domain 1. If formula_85 and formula_86, then the comma category formula_6, written formula_88, is the discrete category whose objects are morphisms from formula_8 to formula_10. An inserter category is a (non-full) subcategory of the comma category where formula_91 and formula_92 are required. The comma category can also be seen as the inserter of formula_93 and formula_94, where formula_95 and formula_96 are the two projection