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Extensions of symmetric cat-groups

D. Bourn and E.M. Vitale

This paper is an attempt to study extensions of symmetric categorical groups from a structural point of view. Using in a systematic way bilimits in the 2-category of symmetric categorical groups, we develop a theory which closely follows the classical theory of abelian group extensions. The basic results are established for any proper class of extensions, and a cohomological classification is obtained for those extensions whose epi part has a categorical section.

Homology, Homotopy and Applications, Vol. 4(2002), No. 1, pp. 103-162

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