| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658542 | Topology and its Applications | 2014 | 7 Pages |
Abstract
We show that the following is consistent (relative to the consistency of a measurable cardinal): There is no real valued measurable cardinal below continuum and there is a finitely additive extension m:P([0,1])â[0,1] of Lebesgue measure whose null ideal is a sigma ideal. We also show that there is a countable partition of [0,1] into interior free sets under the m-density topology of any such extension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Ashutosh Kumar, Kenneth Kunen,