Two-dimensional regularity and exactness

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Two-dimensional regularity and exactness

Article history: Received 19 April 2013 Received in revised form 7 August 2013 Available online 25 November 2013 Communicated by J. Adámek MSC: 18F10; 18A32; 18D05 We define notions of regularity and (Barr-)exactness for 2-categories. In fact, we define three notions of regularity and exactness, each based on one of the three canonical ways of factorising a functor in Cat: as (surjective on obj...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2014

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2013.11.021