Geodesic
Ordered group invariants for one-dimensional spaces
Inhyeop Yi1
1 Department of Mathematics and Statistics University of Victoria Victoria, B.C. Canada, V8W 3P4
Fundamenta Mathematicae, Tome 170 (2001) no. 3, pp. 267-286.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm170-3-5
Keywords: bruschlinsky group winding order homomorphism invariant class one dimensional inverse limit spaces particular presentation inverse limit space satisfies simplicity condition bruschlinsky group winding order inverse limit space dimension group quotient dimension group standard order adjacency matrices associated presentation

Inhyeop Yi 1

1 Department of Mathematics and Statistics University of Victoria Victoria, B.C. Canada, V8W 3P4 
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Inhyeop Yi. Ordered group invariants for one-dimensional spaces. Fundamenta Mathematicae, Tome 170 (2001) no. 3, pp. 267-286. doi : 10.4064/fm170-3-5. http://geodesic.mathdoc.fr/articles/10.4064/fm170-3-5/

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