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Kunneth formuale in persistent homology

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Kunneth formuale in persistent homology
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19
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The classical Kunneth formula in homological algebra provides a link between the homology of a product space and that of its factors. We will show in this talk a collection of similar results for persistent homology. That is, we show how the persistent homology of a filtered product space --- different product filtrations lead to different formulae --- can be recovered from that of its filtered factors.