Star-regularity and regular completions
(2015) AMS-EMS-SMP International Meeting 2015 — Location: University of Porto (10.June.2015)
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- Abstract
- In this work in collaboration with Zurab Janelidze we give a new characterisation of star-regular categories, by using a property of internal reflexive graphs. As an application we obtain a characterisation of star-regularity for multi-pointed categories which are the regular completions of a category with weak finite limits. It follows that star-regularity is invariant by regular completion and, in particular, that a regular category is normal if and only its regular completion is normal.
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Gran, M. (2015). Star-regularity and regular completions. AMS-EMS-SMP International Meeting 2015, University of Porto. https://hdl.handle.net/2078.5/190824