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Dualities in persistent (co) homology
St Andrews University, UK.ORCID iD: 0000-0001-6322-7542
2011 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 27, no 12Article in journal (Refereed) Published
Abstract [en]

We consider sequences of absolute and relative homology and cohomology groups that arise naturally for a filtered cell complex. We establish algebraic relationships between their persistence modules, and show that they contain equivalent information. We explain how one can use the existing algorithm for persistent homology to process any of the four modules, and relate it to a recently introduced persistent cohomology algorithm. We present experimental evidence for the practical efficiency of the latter algorithm.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2011. Vol. 27, no 12
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-150357DOI: 10.1088/0266-5611/27/12/124003ISI: 000298078200004OAI: diva2:742594

QC 20140908

Available from: 2014-09-02 Created: 2014-09-02 Last updated: 2014-09-08Bibliographically approved

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Vejdemo-Johansson, Mikael
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