Title of article :
Spaces of idempotent measures of compact metric spaces
Author/Authors :
Bazylevych,، Maryna Yevgenivna نويسنده , , Lidia and Repov?، نويسنده , , Du?an and Zarichnyi، نويسنده , , Michael، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2010
Abstract :
We investigate certain geometric properties of the spaces of idempotent measures. In particular, we prove that the space of idempotent measures on an infinite compact metric space is homeomorphic to the Hilbert cube.
Keywords :
Maslov integral , Idempotent measure , Absolute retract , Hilbert cube bundle , Disjoint approximation property , Multivalued map , Continuous selection , Compact metric space , Functor P of probability measures
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
