1−Skeleton Resolution of Free Simplicial Algebras with Given CW−Basis

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.

• Ali Mutlu
• Berrin Mutlu

• Free crossed square
• Free 2−crossed modules
• Free simplicial algebra
• Free square complexes
• Free 2−crossed complexes CW−basis
• 1−skeleton. A. M. S.Classification:[2000] 18D35
• 18G30
• 18G50
• 18G55
• 55Q05
• 55Q20.

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