I am a graduate student in mathematics interested in persistent homology. Can anyone recommend good books or resources to self study persistent homology?
I am taking a course in Algebraic Topology, studying the book by Hatcher.
2026-03-17 05:13:43.1773724423
What are good references to self study persistent homology?
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For a quick introduction, you can read this AMS survey.
A basic notion in persistent homology is a barcode. The following article gives an introduction to the subject with an emphasis on shape recognition, and tells you what a barcode its.
Here is another introductory survey article giving you more background material about the theory and implementation of persistent homology. This one also talks about some heavier stuff from algebraic topology, like spectral sequences.