On L1-Embeddability of Unions of L1-Embeddable Metric Spaces and of Twisted Unions of Hypercubes
We study properties here of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017].In particular, we prove that under certain natural mild assumptions twisted unions of L1-embeddable metric spaces also embed in L1 with distortions bounded above by constants that do not depend on th