Freeness Conditions for 2-Crossed Modules and Complexes

A. Mutlu, T. Porter

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

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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