Ordered group invariants for one-dimensional spaces

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dc.creatorYi, Inhyeop
dc.date2000-05-16
dc.date.accessioned2026-07-07T04:35:17Z
dc.date.available2026-07-07T04:35:17Z
dc.descriptionWe show that the Bruschlinsky group with the winding order is a homeomorphism 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.
dc.description17 pages 4 figures
dc.identifierhttps://arxiv.org/abs/math/0005151
dc.identifierhttp://arxiv.org/abs/math/0005151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59201
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject54F15, 54F65, 06F20
dc.titleOrdered group invariants for one-dimensional spaces
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