The Homogeneous Property of the Hilbert Cube
Geometric Topology
2012-11-07 v1 General Topology
Abstract
We demonstrate the homogeneity of the Hilbert Cube. In particular, we construct explicit self-homeomorphisms of the Hilbert cube so that given any two points, a homeomorphism moving one to the other may be realized.
Cite
@article{arxiv.1211.1363,
title = {The Homogeneous Property of the Hilbert Cube},
author = {Denise M. Halverson and David G. Wright},
journal= {arXiv preprint arXiv:1211.1363},
year = {2012}
}
Comments
11 pages, 5 figures