Ultrametric fixed points in reduced axiomatic systems
General Topology
2015-04-23 v2
Abstract
The Brezis-Browder ordering principle [Advances Math., 21 (1976), 355-364] is used to get a proof, in the reduced axiomatic system (ZF-AC+DC), of a fixed point result [in the complete axiomatic system (ZF)] over Cantor complete ultrametric spaces due to Petalas and Vidalis [Proc. Amer. Math. Soc., 118 (1993), 819-821].
Keywords
Cite
@article{arxiv.1504.04598,
title = {Ultrametric fixed points in reduced axiomatic systems},
author = {Mihai Turinici},
journal= {arXiv preprint arXiv:1504.04598},
year = {2015}
}