Bauer, KristineLuna, Germán2015-10-022015-10-022015http://hdl.handle.net/11023/2594The 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.engUniversity 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.MathematicstopologyThe Relation between one-dimensional Persistence and Multidimensional Persistencemaster thesis10.11575/PRISM/28291