Spaces of idempotent measures of compact metric spaces
General Topology
2009-11-05 v1
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
Cite
@article{arxiv.0803.4252,
title = {Spaces of idempotent measures of compact metric spaces},
author = {Lidia Bazylevych and Dušan Repovš and Michael Zarichnyi},
journal= {arXiv preprint arXiv:0803.4252},
year = {2009}
}