Nonexistence of linear operators extending Lipschitz (pseudo)metric
General Topology
2012-07-13 v1 Metric Geometry
Abstract
We present an example of a zero-dimensional compact metric space and its closed subspace such that there is no continuous linear extension operator for the Lipschitz pseudometrics on to the Lipschitz pseudometrics on . The construction is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.
Keywords
Cite
@article{arxiv.1207.2952,
title = {Nonexistence of linear operators extending Lipschitz (pseudo)metric},
author = {Dušan Repovš and Mykhailo Zarichnyi},
journal= {arXiv preprint arXiv:1207.2952},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:math/0408200