Homology algorithm based on acyclic subspace
Computers & Mathematics with Applications
Coreduction homology algorithm for inclusions and persistent homology
Computers & Mathematics with Applications
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We introduce some modifications and extensions of the concept of index pair in the Conley index theory. We then show how these concepts may be used to overcome some difficulties in obtaining efficient algorithms computing the Conley index. We also present examples of applications to computer assisted proofs in dynamics.