Ordered group invariants for one-dimensional spaces

• Autorzy: Inhyeop Yi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 06F20: Ordered abelian groups, Riesz groups, ordered linear spaces
• 54F15: Continua and generalizations
• 37B45: Continua theory in dynamics
• 54F65: Topological characterizations of particular spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 170
• Numer: 3
• Strony: 267-286

Daty

wydano

2001

Twórcy

autor

Inhyeop Yi

• Department of Mathematics and Statistics, University of Victoria, Victoria, B.C., Canada, V8W 3P4

Identyfikatory

DOI

10.4064/fm170-3-5