TY - JOUR AU - Suzuki, Kohei AU - Yamazaki, Yohei PY - 2015 DA - 2015/03/31 TI - Non-separability of the Lipschitz distance JO - Pacific Journal of Mathematics for Industry SP - 2 VL - 7 IS - 1 AB - Let X be a compact metric space and $\mathcal {M}_{X}$be the set of isometry classes of compact metric spaces Y such that the Lipschitz distance dL(X,Y) is finite. We show that $(\mathcal {M}_{X}, d_{L})$is not separable when X is a closed interval, or an infinite union of shrinking closed intervals. SN - 2198-4115 UR - https://doi.org/10.1186/s40736-015-0013-5 DO - 10.1186/s40736-015-0013-5 ID - Suzuki2015 ER -