Mayer Vietoris sequence for persistent homology

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2018
Yılmaz, Yağmur
Persistent homology is an algebraic method for understanding topological features of discrete objects or data (finite set of points with metric defined on it). In algebraic topology, the Mayer Vietoris sequence is a powerful tool which allows one to study the homology groups of a given space in terms of simpler homology groups of its subspaces. In this thesis, we study to what extent does persistent homology benefit from Mayer Vietoris sequence.
Citation Formats
Y. Yılmaz, “Mayer Vietoris sequence for persistent homology,” M.S. - Master of Science, 2018.