The Dutch film "Antonia" written and directed by Marleen Gorris won the 1996 Oscar for best foreign language film. There's a scene in which the 20-year-old granddaughter of the title character is at a blackboard with a lot of exact sequences. She says (quoting the English subtitles): We will assume that the singular chain complex of the empty set equals zero. With theorem 5.8 this implies that the nth homology group is the same as the nth relative homology group if we take the subspace as the empty set. New we can construct a functor from the category....from the category Top to the category of chain complexes. Define the functor S* as follows: S* sends the ordered pair <X,A> to the singular chain complex of the space X divided by the complex of A. Is this the first commercial film with categories and functors? (It's not the first with homological algebra: in 1980 "It's My Turn" opened with its lead at a blackboard proving the snake lemma.) It should be noted that the categories and functors in "Antonia" turn out to be foreplay: the speaker makes eye contact with a guy in her audience and the next scene instantly transports them from the classroom to the bedroom.
The Dutch film "Antonia" written and directed by Marleen Gorris won the 1996 Oscar for best foreign language film. There's a scene in which the 20-year-old granddaughter of the title character is at a blackboard with a lot of exact sequences. She says (quoting the English subtitles): We will assume that the singular chain complex of the empty set equals zero. With theorem 5.8 this implies that the nth homology group is the same as the nth relative homology group if we take the subspace as the empty set. New we can construct a functor from the category....from the category Top to the category of chain complexes. Define the functor S* as follows: S* sends the ordered pair <X,A> to the singular chain complex of the space X divided by the complex of A. Is this the first commercial film with categories and functors? (It's not the first with homological algebra: in 1980 "It's My Turn" opened with its lead at a blackboard proving the snake lemma.) It should be noted that the categories and functors in "Antonia" turn out to be foreplay: the speaker makes eye contact with a guy in her audience and the next scene instantly transports them from the classroom to the bedroom.
participants (1)
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Peter Freyd