%0 Journal Article
%T Polynomials in categories with pullbacks
%A Mark Weber
%J Mathematics
%D 2011
%I arXiv
%X The theory developed by Gambino and Kock, of polynomials over a locally cartesian closed category E, is generalised for E just having pullbacks. The 2-categorical analogue of the theory of polynomials and polynomial functors is given, and its relationship with Street's theory of fibrations within 2-categories is explored. Johnstone's notion of "bagdomain data" is adapted to the present framework to make it easier to completely exhibit examples of polynomial monads.
%U http://arxiv.org/abs/1106.1983v4