Flatness, weakly lex colimits, and free exact completions
Giacomo Tendas
Abstract:We capture in the context of lex colimits, introduced by Garner and Lack, the universal property of the free regular and Barr-exact completions of a weakly lex category. This is done by introducing a notion of flatness for functors $$F:{{\mathcal {C}}}\rightarrow {{\mathcal {E}}}$$
F
:
C
→
E
with lex codomain, and using this to describe the universal property of free $$\Phi… Show more
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