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Crossed-modules and Whitehead sequences

We introduce the notion of Whitehead sequence which is defined for a base category together with a system of abstract actions over it. In the classical case of groups and group actions the Whitehead sequences are precisely the crossed-modules of groups. For a general setting we give sufficient conditions for the existence of a categorical equivalence between internal groupoids and Whitehead sequences.

preprint2015arXivOpen access
Nelson Martins-Ferreira
math.CT
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Nelson Martins-Ferreira

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