Bihomogeneity and Menger manifolds
General Topology
2007-05-23 v1 Algebraic Topology
Abstract
For every triple of integers a, b, and c, such that a>O, b>0, and c>1, there is a homogeneous, non-bihomogeneous continuum whose every point has a neighborhood homeomorphic the Cartesian product of three Menger compacta m^a, m^b, and m^c. In particular, there is a homogeneous, non-bihomogeneous, Peano continuum of covering dimension four.
Cite
@article{arxiv.math/9804085,
title = {Bihomogeneity and Menger manifolds},
author = {Krystyna Kuperberg},
journal= {arXiv preprint arXiv:math/9804085},
year = {2007}
}
Comments
9 pages