Approximate Fixed Point Property for Digital Trees and Products
Geometric Topology
2020-04-08 v1 Combinatorics
Abstract
We add to our knowledge of the approximate fixed point property (AFPP) in digital topology. We show that a digital image that is a tree has the AFPP. Given two digital images (X, \kappa) and (Y, \lambda) that have the approximate fixed point property, does their Cartesian product have the AFPP? We explore conditions that yield an affirmative answer. A general answer to this question is not known at the current writing.
Cite
@article{arxiv.2004.03394,
title = {Approximate Fixed Point Property for Digital Trees and Products},
author = {Laurence Boxer},
journal= {arXiv preprint arXiv:2004.03394},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1911.07400