|
|||||
|
|
|
|
|
|
|
|
|
Weak denseness of
nonatomic measures on perfect, locally compact spaces
Norman Yeomans Luther |
|
Vol. 34 (1970), No. 2, 453–460
|
Abstract |
|
Our primary result is that the space of all compact zeroset-regular, nonatomic, countably additive Baire measures is dense, with iespect to the weak topology, in the space of alI finitely additive, zero-set regular Baire measures if the underlying topological space is locally compact, Iiausdorff, and perfect. Moreover, a corresponding result holds for Borel measures. These results yield, as easy corollaries, the existence of nonzero, nonatomic, countably additive, compact-regular Baire and Borel measures on a locally compact, Hausdorff space which contains a nonempty perfect subset, Two converses conclude the paper. |
Mathematical Subject Classification
Primary: 28.13
|
Milestones
Received: 17 October 1969
Published: 1 August 1970
|
Authors |
| Norman Yeomans Luther | |
|
