Some partition properties for measurable colourings of omega-one^2
| dc.creator | Hirschorn, James | |
| dc.date | 2005-01-24 | |
| dc.date.accessioned | 2026-07-07T05:16:21Z | |
| dc.date.available | 2026-07-07T05:16:21Z | |
| dc.description | We construct a measure on omega-one^2 over the ground model in the forcing extension of a measure algebra, and investigate when measure theoretic properties of some measurable colouring of omega-one^2 imply the existence of an uncountable subset of omega-one whose square is homogeneous. This gives a new proof of the fact that, under a suitable axiomatic assumption, there are no Souslin (omega-one,omega-one) gaps in the Boolean algebra L^0(nu)/Fin when nu is a separable measure. | |
| dc.description | Proceedings of the Kyoto conference on Forcing Method and Large Cardinals, 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0501421 | |
| dc.identifier | http://arxiv.org/abs/math/0501421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73954 | |
| dc.subject | Logic | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Some partition properties for measurable colourings of omega-one^2 | |
| dc.type | text |