Ordered group invariants for one-dimensional spaces

Details Ordered group invariants for one-dimensional spaces Ordered group invariants for one-dimensional spaces

2000-05-16

arxiv.org/abs/math/0005151v1

Mathematics

Geometric Topology

17 pages 4 figures

Scientific paper

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.

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