National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Basics on persistent homology
Novák, Jakub ; Šťovíček, Jan (advisor) ; Hrbek, Michal (referee)
Abstract:In this work, the reader is introduced to the theory of persistent ho- mology and its applications. In the first chapter we will show the basics of sim- plicial and singular homology and we will prove the basic relations, especially the independence of simplicial homological groups on the chosen △-complex and isomorphism between homological groups of homotopic spaces. In the second chapter, we explain the motivation behind persistent homology, describe its al- gebraic structure and how it can be visually represented. We describe and prove the corectness of the algorithm for its calculation. We then illustrate the theory on an example. 1

Interested in being notified about new results for this query?
Subscribe to the RSS feed.