Associated graphs and chain maps

E. M. El-Kholy, N. El-Sharkawey · Delta Journal of Science · 2016

In this paper, we defined the associated graph constructed to acellular folding defined on regular CW-complexes. Thesegraphs declare the effect of a cellular folding on the complex.Besides we studied the properties of this graph and we provedthat it is connected and vertex transitive if the cellular folding isneat.Finally, by using chain maps and homology groups weobtained the necessary and sufficient conditions for a cellularmap to be cellular folding and neat cellular folding respectively.

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