Swallowtail (film) for "swallowtail"). Under Glico's care, Ageha starts a new life. The immigrant characters, who speak Japanese, English, Mandarin, or Cantonese, earn their living by committing petty crimes and engaging in prostitution. Ageha does not participate in any of these activities, but is protected by Glico and the other immigrants. The film does not make clear whether Ageha is Japanese or an Asian immigrant. Eventually, due to a sudden twist of fate, the immigrants are given a chance to realize their various dreams. But in doing so, they destroy their solidarity, and have to face their problems separately. Swallowtail Butterfly was
Comma category by Lawvere, which involved the comma punctuation mark. Although standard notation has changed, since the use of a comma as an operator is potentially confusing, and even Lawvere dislikes the uninformative term "comma category" (Lawvere, 1963 p. 13), the name persists. The most general comma category construction involves two functors with the same codomain. Often one of these will have domain 1 (the one-object one-morphism category). Some accounts of category theory consider only these special cases, but the term comma category is actually much more general. Suppose that formula_1, formula_2, and formula_3 are categories, and formula_4 and formula_5 (for source