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In this paper, we show that contraction operations preserve the homology of$n$D generalized maps, under some conditions. Removal and contractionoperations are used to propose an efficient algorithm that compute homologygenerators of $n$D generalized maps. Its principle consists in simplifying ageneralized map as much as possible by using removal and contractionoperations. We obtain a generalized map having the same homology than theinitial one, while the number of cells decreased significantly.  Keywords: $n$D Generalized Maps; Cellular Homology; Homology Generators;Contraction and Removal Operations.

Removal and Contraction Operations in $n$D Generalized Maps for Efficient Homology Computation