The homology of groupnets
In this thesis I use the theory of groupnets (Brandt groupoids) to investigate the homology of mapping cylinder groupnets; that is, groupnets G which are the homotopy colimits of diagrams (V, A) of groupnets. When the edge morphisms of (V, A) are all monomorphisms, G is known as a graph product. The principal result of the thesis is the construction of a G-complex with universal properties - the G-mapping cylinder - from a diagram of complexes corresponding to (V, A) , and the subsequent...[Show more]
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