The Relation between one-dimensional Persistence and Multidimensional Persistence

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atmire.migration.oldid3722
dc.contributor.advisorBauer, Kristine
dc.contributor.authorLuna, Germán
dc.date.accessioned2015-10-02T17:53:46Z
dc.date.embargolift2016-02-22T07:00:00Z
dc.date.issued2015-10-02
dc.date.submitted2015en
dc.description.abstractThe 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.en_US
dc.identifier.citationLuna, G. (2015). The Relation between one-dimensional Persistence and Multidimensional Persistence (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/28291en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/28291
dc.identifier.urihttp://hdl.handle.net/11023/2594
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity 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.
dc.subjectMathematics
dc.subject.classificationtopologyen_US
dc.titleThe Relation between one-dimensional Persistence and Multidimensional Persistence
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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