Spaces of idempotent measures of compact metric spaces

作者：Bazylevych Lidia^*; Repovs Dusan; Zarichnyi Michael

来源：Topology and Its Applications, 2010, 157(1): 136-144.

DOI：10.1016/j.topol.2009.04.040

• Compact metric space
• Hilbert cube bundle
• Idempotent measure
• Functor P of probability measures
• Maslov integral
• Absolute retract
• Disjoint approximation property
• Continuous selection
• Multivalued map

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.

• 出版日期2010-1-1