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Does anyone know any source (article/book/etc) where an example of explicit (and manual) computation of persistent homology is shown?

So far most examples are calculated by computer.

I am just looking for a simple example with a few simplices, that can be worked out by hand, for learning purposes.

Thanks!

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In Computational Topology an Introduction by Edelsbrunner and Harer on page 184 (196 of PDF) they manually compute the reduced persistent homology of a 2-simplex. They use reduced homology to give it some level of interest.

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  • $\begingroup$ Thanks. However, I can't find it on either page 184 or page 196... Could you give a chapter /section number? $\endgroup$ – yoyostein Jul 29 '17 at 15:40
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    $\begingroup$ @yoyostein in section VII.1 Persistent Homology at the end of the section there is the bolded subsection "An Example." It is the only one as the paper is sparse when it comes to examples. $\endgroup$ – Birch Bryant Jul 29 '17 at 16:02

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