Ordered group invariants for one-dimensional spaces

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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.
17 pages 4 figures

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Geometric Topology, Dynamical Systems, 54F15, 54F65, 06F20

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http://salesiana.dossiersoluciones.com/handle/123456789/59201

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005151
 http://arxiv.org/abs/math/0005151

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arXiv