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单词 NaturalEquivalenceOfCGAndCMCategories
释义

natural equivalence of CG and CM categories


Theorem 0.1.

(with proof by Verdier [1])The categoryMathworldPlanetmath CG of categorical groups and functorial homomorphismsMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath between categorical groups, and the category CM of crossed modules of groups and homomorphisms between them, are naturally equivalent.

References

  • 1 Jean-Louis Verdier, Des catégories dérivées des catégories abéliennes, Astérisque, vol. 239, SocietéMathematiquedeFrance,1996(inFrench).
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