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A program for computing the simplicial homology. (Catalan) Zbl 0543.55005

This is a code for computing the simplicial homology of a triangulated complex, from the list of simplices of every skeleton. We construct the matrix of the border map between two consecutive skeletons, and we obtain the quotient kernel/image by means of integer matrix diagonalization. This code, also allows the computation of the homology of a space K with an r-cell attached via \(f:S^{r-1}\to K\). We must provide the list of \(f_{\#}(\gamma)\) simplices, where \(f_{\#}\) is a simplicial approximation of f, subordinated to the given triangulations of K and \(S^{r-1}\), and \(\gamma\) is a fundamental (r-1)-cycle of \(S^{r-1}\).

MSC:

55N35 Other homology theories in algebraic topology
55N10 Singular homology and cohomology theory
57Q05 General topology of complexes
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