Weakly Terminal Objects in Quasicategories of SET Endofunctors

نویسنده

  • Libor Barto
چکیده

The quasicategory Q of all set functors (i.e. endofunctors of the category SET of all sets and mappings) and all natural transformations has a terminal object – the constant functor C1. We construct here the terminal (or at least the smallest weakly terminal object, which is rigid) in some important subquasicategories of Q – in the quasicategory F of faithful connected set functors and all natural transformations, and in the quasicategories B of all set functors and natural transformations which preserve filters of points (up to cardinality κ).

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عنوان ژورنال:
  • Applied Categorical Structures

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2005