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arxiv: 1805.12567 · v1 · pith:DOQPYLAMnew · submitted 2018-05-31 · 🧮 math.AT

Barcodes in level and sub level persistence and Morse-Novikov theory

classification 🧮 math.AT
keywords levelbarcodesmorse-novikovpersistenceangle-valuedapparentlycollaboratorscomplex
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In this note we recall the relations between the barcodes in level and sub-level persistence and make precise their relation with the Morse-Novikov complex of a Morse real- or angle-valued map. The results in this papers are implicit in my previous work(w.collaborators), but apparently not well known even to experts.

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