Nonexistence of linear operators extending Lipschitz (pseudo)metrics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We provide an example of a zero-dimensional compact metric space $X$ and its closed subspace $A$ such that there is no continuous linear extension operator for the Lipschitz pseudometrics on $A$ to the Lipschitz pseudometrics on $X$. The construction is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.
7 pages

Keywords

General Topology, Geometric Topology, 26A16; 54C20; 54E35; 54E40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408200
 http://arxiv.org/abs/math/0408200

Collections

arXiv