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arXiv · 0803.4252

Spaces of idempotent measures of compact metric spaces

Lidia Bazylevych·Dušan Repovš·Michael Zarichnyi
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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.

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Lidia Bazylevych, Dušan Repovš, Michael Zarichnyi. 2008-03-29. Spaces of idempotent measures of compact metric spaces. https://doi.org/10.1016/j.topol.2009.04.040

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