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Makarychev–Makarychev conjecture on unions of $L_p$ -embeddable metric spaces
Suppose $(X,d)$ is a metric space and $X=A\cup B$ , where $c_p(A)$ and $c_p(B)$ are finite. Here $c_p(S)$ denotes the least bi-Lipschitz distortion with which the metric space $S$ e…
Conjectureopenl1-embeddability lp-spaces metric-embeddingsarXiv posted 2 days ago

Makarychev–Makarychev conjecture on unions of LpL_pLp​-embeddable metric spaces