Complexity of atriodic continua
| dc.creator | Kennaugh, C. T. | |
| dc.date | 2009-05-12 | |
| dc.date.accessioned | 2026-07-07T13:14:24Z | |
| dc.date.available | 2026-07-07T13:14:24Z | |
| dc.description | This dissertation investigates the relative complexity between a continuum and its proper subcontinua, in particular, providing examples of atriodic n-od-like continua. Let X be a continuum and n be an integer greater than or equal to three. If X is homeomorphic to an inverse limit of simple-n-od graphs with simplicial bonding maps and is simple-(n-1)-od-like, it is shown that the bonding maps can be simplicially factored through a simple-(n-1)-od. This implies, in particular, that X is homeomorphic to an inverse limit of simple-(n-1)-od graphs with simplicial bonding maps. This factoring is subsequently used to show that a specific inverse limit of simple-n-ods with simplicial bonding maps, having the property of every proper nondegenerate subcontinuum being an arc, is not simple-(n-1)-od-like. | |
| dc.identifier | https://arxiv.org/abs/0905.1978 | |
| dc.identifier | http://arxiv.org/abs/0905.1978 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230196 | |
| dc.subject | General Topology | |
| dc.title | Complexity of atriodic continua | |
| dc.type | text |