Lipschitz and uniformly continuous reducibilities on ultrametric Polish spaces
Logic
2013-10-29 v3 General Topology
Abstract
We analyze the reducibilities induced by, respectively, uniformly continuous, Lipschitz, and nonexpansive functions on arbitrary ultrametric Polish spaces, and determine whether under suitable set-theoretical assumptions the induced degree-structures are well-behaved.
Cite
@article{arxiv.1302.1356,
title = {Lipschitz and uniformly continuous reducibilities on ultrametric Polish spaces},
author = {Luca Motto Ros and Philipp Schlicht},
journal= {arXiv preprint arXiv:1302.1356},
year = {2013}
}
Comments
37 pages, 2 figures, revised version, accepted for publication in the Festschrift that will be published on the occasion of Victor Selivanov's 60th birthday by Ontos-Verlag. A mistake has been corrected in Section 6