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

Published 31 May 2018 in math.AT | (1805.12567v1)

Abstract: 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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