## Definition à la Bourbaki of the Basic Notions of Category Theory

**Authors:** Pierre-Yves Gaillard

We unsuccessfully try to give definitions in the spirit of Bourbaki's set theory for the basic notions of category theory. The goal is to avoid using either Grothendieck's universes axiom, or "classes" (or "collections") of sets which are not sets. We explain why our attempt fails.

**Comments:** 3 Pages.

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### Submission history

[v1] 2012-07-03 22:07:09

[v2] 2012-07-07 01:06:47

[v3] 2012-07-09 00:35:18

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