On local fixed or periodic point properties
Dynamical Systems
2015-12-21 v1
Abstract
A space X has the local fixed point property LFPP, (local periodic point property LPPP) if it has an open basis such that, for each , the closure has the fixed (periodic) point property. Weaker versions wLFPP, wLPPP are also considered and examples of metric continua that distinguish all these properties are constructed. We show that for planar or one-dimensional locally connected metric continua the properties are equivalent.
Cite
@article{arxiv.1401.0041,
title = {On local fixed or periodic point properties},
author = {Alejandro Illanes and Pawł Krupski},
journal= {arXiv preprint arXiv:1401.0041},
year = {2015}
}