On finitary functors and their presentations

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摘要

Finitary endofunctors of locally presentable categories are proved to have equational presentations. Special attention is being paid to the category of complete metric spaces and two endofunctors: the Hausdorff functor of all compact subsets and the Kantorovich functor of all tight measures.

论文关键词:Finitary functors,Hausdorff functor,Kantorovich functor,Presentation of functors

论文评审过程:Received 30 January 2013, Accepted 5 August 2014, Available online 3 December 2014.

论文官网地址:https://doi.org/10.1016/j.jcss.2014.12.002