Ordered group invariants for one-dimensional spaces
Geometric Topology
2007-05-23 v1 Dynamical Systems
Abstract
We show that the Bruschlinsky group with the winding order is a homeomorphism invariant for a class of one-dimensional inverse limit spaces. In particular we show that if a presentation of an inverse limit space satisfies the Simplicity Condition, then the Bruschlinsky group with the winding order of the inverse limit space is a dimension group and is a quotient of the dimension group with the standard order of the adjacency matrices associated with the presentation.
Keywords
Cite
@article{arxiv.math/0005151,
title = {Ordered group invariants for one-dimensional spaces},
author = {Inhyeop Yi},
journal= {arXiv preprint arXiv:math/0005151},
year = {2007}
}
Comments
17 pages 4 figures