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 exists. Lawvere showed that the functors formula_169 and formula_170 are adjoint if and only if the comma categories formula_171 and formula_172, with formula_173 and formula_174 the identity functors on formula_175 and formula_3 respectively, are isomorphic, and equivalent elements in the comma category can be projected onto the same element of formula_177. This allows adjunctions to be described without involving sets, and was in fact the original motivation for introducing comma categories. If the domains of formula_178 are equal, then the diagram which defines morphisms in formula_179 with formula_180 is identical to the diagram which defines a natural transformation formula_181. The