Ordered group invariants for one-dimensional spaces

Inhyeop Yi. "Ordered group invariants for one-dimensional spaces." Fundamenta Mathematicae 170.3 (2001): 267-286. <http://eudml.org/doc/283029>.

@article{InhyeopYi2001,
abstract = {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.},
author = {Inhyeop Yi},
journal = {Fundamenta Mathematicae},
keywords = {branched matchbox manifold; Bruschlinsky group; winding order; dimension group; one-dimensional solenoid},
language = {eng},
number = {3},
pages = {267-286},
title = {Ordered group invariants for one-dimensional spaces},
url = {http://eudml.org/doc/283029},
volume = {170},
year = {2001},
}

TY - JOUR
AU - Inhyeop Yi
TI - Ordered group invariants for one-dimensional spaces
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 3
SP - 267
EP - 286
AB - 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.
LA - eng
KW - branched matchbox manifold; Bruschlinsky group; winding order; dimension group; one-dimensional solenoid
UR - http://eudml.org/doc/283029
ER -