Using free simplicial groups, it is shown how to construct a free or totally free 2-crossed module on suitable construction data. 2-crossed complexes are introduced and similar freeness results for these are discussed.
Please note the electronically available References at http://www.tac.mta.ca/tac/volumes/1998/n8/reference.html
Keywords: Simplicial groups, construction data, 2-crossed module, 2-crossed complex, homotopy 3-types.
1991 MSC: 18D35, 18G30, 18G50, 18G55.
Theory and Applications of Categories, Vol. 4, 1998, No. 8, pp 174-194.
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