Dualities in persistent (co) homology
2011 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 27, no 12Article in journal (Refereed) Published
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
IdentifiersURN: urn:nbn:se:kth:diva-150357DOI: 10.1088/0266-5611/27/12/124003ISI: 000298078200004OAI: oai:DiVA.org:kth-150357DiVA: diva2:742594
QC 201409082014-09-022014-09-022014-09-08Bibliographically approved