Convex hyperspaces of probability measures and extensors in the asymptotic category

Details Convex hyperspaces of probability measures and extensors in the asymptotic category Convex hyperspaces of probability measures and extensors in the asymptotic category

2011-07-06

arxiv.org/abs/1107.1218v1

Topology Appl. 158:13 (2011), 1571-1574

Mathematics

General Topology

Scientific paper

10.1016/j.topol.2011.05.026

The objects of the Dranishnikov asymptotic category are proper metric spaces
and the morphisms are asymptotically Lipschitz maps. In this paper we provide
an example of an asymptotically zero-dimensional space (in the sense of Gromov)
whose space of compact convex subsets of probability measures is not an
absolute extensor in the asymptotic category in the sense of Dranishnikov.

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