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arxiv: 1007.0121 · v1 · submitted 2010-07-01 · 🧮 math.CT

Projective and injective objects in symmetric categorical groups

classification 🧮 math.CT
keywords categoricalchengroupsinjectiveobjectsprojectivesymmetricanounced
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We prove that the 2-category of symmetric categorical groups have enough projective and injective objects. This was conjectured by Bourn and Vitale in 2002 and was anounced recently by Fang Huang, Shao-Han Chen, Wei Chen and Zhu-Jun Zheng in arXiv:1006.4677 with wrong proof.

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