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Some Partition Properties for Measurable Colourings of Omega-one^2 by Hirschorn, James is a scholarly article available to read on EtoBox.

What is Some Partition Properties for Measurable Colourings of Omega-one^2 about?

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.

Author

Hirschorn, James

Published

2005

Language

EN