Mayer Vietoris sequence for persistent homology

Date

2018

Author

Yılmaz, Yağmur

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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.

Subject Keywords

Holonomy groups., Algebraic topology., Sequences (Mathematics).

URI

http://etd.lib.metu.edu.tr/upload/12622408/index.pdf
https://hdl.handle.net/11511/27564

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Graduate School of Natural and Applied Sciences, Thesis