? 2022 Elsevier B.V.The paper continues the study of quantization dimensions of idempotent measures on an arbitrary metric compact space (X,ρ), started in 8. The concept of an n-kernel of an idempotent measure, which plays an important role in calculating and estimating the metric ρI on the space of idempotent measures I(X), is defined. Formulas, that make the calculation of ρI(μ,ν),μ,ν∈I(X) convenient and geometrically clear, are obtained. It is shown that it is possible to get various metrizations of the idempotent measures functor I using the pseudometrics ρn introduced on I(X) in 2. These metrizations have important general properties in terms of quantization dimensions. The existence of the metrization of the functor I, for which quantization dimensions are preserved in subspaces, is proved.
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机译：?2022 Elsevier B.V.该论文继续研究从[8]开始的任意度量紧空间（X，ρ）上幂等度量的量化维度。定义了幂等度量的n核的概念，该概念在计算和估计幂等度量I（X）空间上的度量ρI中起着重要作用。得到了使ρI（μ，ν），μ，ν∈I（X）的计算方便且几何清晰的公式。结果表明，使用[2]中I（X）上引入的伪度量ρn，可以得到幂等度量函子I的各种度量。这些计量在量化维度方面具有重要的一般属性。证明了函子 I 的计量化的存在，其量化维数保留在子空间中。
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