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math.AT2019
Comparison between "Parametrized homology via zigzag persistence" and "Refined homology in the presence of a real-valued continuous function"
Dan Burghelea
In this note one shows that the four persistence diagrams and measures defined in [5] are particular cases of the maps and the measures discussed in [2] and [1]
math.AT2019
Alternative to Morse-Novikov Theory for closed 1-form (I)
Dan Burghelea
This paper extends the Alternative to Morse-Novikov theory we have proposed in Burghelea (New topological invariants for real- and angle valued maps, World Scientific, Hackensack,…