Homogeneity and rigidity in Erd\H{o}s spaces
General Topology
2019-09-10 v1
Abstract
We investigate the homogeneity of topological subspaces of separable Hilbert space, akin to the spaces with all points rational or all points irrational, so-called Erd\H{o}s spaces. We provide a non-homogeneous example, that is based on one set of coordinates using, and a rigid example, based on a sequence of coordinate sets.
Cite
@article{arxiv.1802.04352,
title = {Homogeneity and rigidity in Erd\H{o}s spaces},
author = {Klaas Pieter Hart and Jan van Mill},
journal= {arXiv preprint arXiv:1802.04352},
year = {2019}
}