1-skeleton resolution of free simplicial algebras with given CW-basis
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Date
2011
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Abstract
In this paper we use the definition of CW basis of a free simplicial algebra. Using the free simplicial algebra, it is shown to construct free or totally free 2-crossed modules on suitable construction data with given a CW -basis of the free simplicial algebra. We give applications free crossed squares, free squared complexes and free 2-crossed complexes by using of 1(one) skeleton resolution of a step by step construction of the free simplicial algebra with a given CW - basis.