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.
