Equivalence relations recover coordinate factors from metric products, exactly characterizing finite product/power presentations via category equivalence and binary tree structures for self-product spaces, with application to persistent homology.
European Journal of Combinatorics 21(7), 847–851 (2000) https://doi
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Square Metric Spaces
Equivalence relations recover coordinate factors from metric products, exactly characterizing finite product/power presentations via category equivalence and binary tree structures for self-product spaces, with application to persistent homology.