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Who was the first person/what was the first paper to invent/mention the persistence algorithm? (see page 6 of these lecture notes).

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That'd be Delfinado and Edelsbrunner in An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Check the last section. Similar algorithms may have been known by others, though, since persistent homology was discovered independently in a couple other places and worked on for a while before they all found one another.

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  • $\begingroup$ remind me please, how do we find the persistence pairs from the betti numbers? $\endgroup$ – user352102 Jul 31 '18 at 18:28
  • $\begingroup$ @JyrkiLahtonen Indeed-- I dont have much more to add to it at the moment so all that remains is to announce. I think a few days after election is most appropriate. $\endgroup$ – Alexander Gruber Aug 1 '18 at 17:13

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