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CAPD::RedHom v2 – homology software based on reduction algorithms. (English) Zbl 1402.57021
Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer (ISBN 978-3-662-44198-5/pbk). Lecture Notes in Computer Science 8592, 160-166 (2014).
Summary: We present an efficient software package for computing homology of sets, maps and filtrations represented as cubical, simplicial and regular CW complexes. The core homology computation is based on classical Smith diagonalization, but the efficiency of our approach comes from applying several geometric and algebraic reduction techniques combined with smart implementation.
For the entire collection see [Zbl 1293.65003].

MSC:
57Q05 General topology of complexes
55U05 Abstract complexes in algebraic topology
57-04 Software, source code, etc. for problems pertaining to manifolds and cell complexes
65Y15 Packaged methods for numerical algorithms
Software:
LinBox; SageMath; CAPD; GAP; RedHom
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