Crossed modules and Whitehead sequences

Martins-Ferreira, Nelson

http://hdl.handle.net/10400.8/12936

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Martins-Ferreira, Nelson

Resumo(s)

We introduce the notion ofWhitehead 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 theWhitehead 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.