Geometric application of functors of probability measures P and idempotent probability measures I
In the work defines the geometric properties of the space of idempotent proba-
bility measures. It also considers the construction of one-dimensional, two-dimensional, three-
dimensional,..., (n-1)-dimensional and infinite-dimensional simplices in the space of idempotent prob-
ability measures. In particular, for a compact of X it is established that if the space of I 3 (X)\X is
hereditary normally, then X is metrized; some subsets of space of idempotent probability measures
which are, respectively, Z - sets, are allocated to max - plus - convex subsets.
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