Spaces of max-min measures on compact Hausdorff spaces
General Topology
2019-04-19 v1
Abstract
The notion of max-min measure is a counterpart of the notion of max-plus measure (Maslov measure or idempotent measure). In this paper we consider the spaces of max-min measures on the compact Hausdorff spaces. It is proved that the obtained functor of max-min measures is isomorphic to the functor of max-plus (idempotent) measures considered by the second-named author. However, it turns out that the monads generated by these functors are not isomorphic.
Cite
@article{arxiv.1904.08669,
title = {Spaces of max-min measures on compact Hausdorff spaces},
author = {Viktoriya Brydun and Mykhailo Zarichnyi},
journal= {arXiv preprint arXiv:1904.08669},
year = {2019}
}
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16 pages