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# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## Ordered group invariants for one-dimensional spaces

### Tom 170 / 2001

Fundamenta Mathematicae 170 (2001), 267-286 MSC: 37B45, 54F15, 54F65, 06F20. DOI: 10.4064/fm170-3-5

#### Streszczenie

We show that the Bruschlinsky group with the winding order is a homomorphism 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.

#### Autorzy

• Inhyeop YiDepartment of Mathematics and Statistics
University of Victoria
Victoria, B.C.