Algebraic Simplifications of Metric Information

This thesis is about how to interpret metric data with topological tools, such as homology. We show how to go from a metric space to a topological space via Vietoris-Rips complexes. We use the usual approach to Topological Data Analysis (TDA), and transform our metric space into tame parametrised ve...

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Bibliographic Details
Main Author: Erninger, Klas
Format: Others
Language:English
Published: KTH, Matematik (Avd.) 2020
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-277744