The Relation between one-dimensional Persistence and Multidimensional Persistence

The goal of this thesis is to attempt to provide a classification of multidimensional per sistence. We present two main attacks on this problem. First, we examine the relationship between multidimensional persistence and one dimensional persistence. Second, we attempt to classify the module by a certain linear map obtained by taking a free resolution of the multipersistence module. In both cases, we examine the pro’s and con’s of the approach by providing an illuminating example.

Name thesis:degree_name

Master of Science (MSc)

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher.institution

Graduate Studies

Year dc:date.issued

2015

Author dc:creator

• Luna, Germán

Advisor dc:contributor.advisor

• Bauer, Kristine

• Mathematics

Statement dc:rights

• University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.

Language dc:language.iso

eng

DOI

http://dx.doi.org/10.11575/PRISM/28291

OAI identifier oai:identifier

oai:ucalgary.scholaris.ca:11023/2594