Ordered group invariants for one-dimensional spaces

Inhyeop Yi

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Ordered group invariants for one-dimensional spaces

Inhyeop Yi

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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.

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Inhyeop Yi. 2000-05-16. Ordered group invariants for one-dimensional spaces. https://arxiv.org/abs/math/0005151

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