Title of article :
Monotone normality, measures and hyperspaces
Author/Authors :
Brandsma، نويسنده , , Henno and van Mill، نويسنده , , Jan، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1998
Abstract :
We show that a compact Hausdorff, hereditarily Lindelöf, monolithic, monotonically normal space has a monolithic hyperspace. This generalises a result of M. Bell for ordered spaces. A consistent example of a nonmonotonically normal space with a monolithic hyperspace is given. We also show that every monotonically normal compact space is measure separable in the sense of Kunen and Džamonja.
Keywords :
Hyperspaces , Compact spaces , Monotone normality , Measure separable , Monolithic
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications