措施和所有的...，-一个

摘要：

本教程概述了测度论的一些基本技术。它包括一个研究波莱尔集和他们的发电机波兰和解析空间，弱拓扑的空间上的所有有限的积极措施，包括其度量，以及可测的选择。整合是涵盖，并介绍了积测度，有限和任意因素，与应用程序投影系统。最后，讨论了Lp-空间的可积性，Radon-Nikodym定理和Riesz表示定理。案例研究包括随机Kripke模型的应用，互模拟，并转换内核的concierents。

英文摘要：

This tutorial gives an overview of some of the basic techniques of measure theory. It includes a study of Borel sets and their generators for Polish and for analytic spaces, the weak topology on the space of all finite positive measures including its metrics, as well as measurable selections. Integration is covered, and product measures are introduced, both for finite and for arbitrary factors, with an application to projective systems. Finally, the duals of the Lp-spaces are discussed, together with the Radon-Nikodym Theorem and the Riesz Representation Theorem. Case studies include applications to stochastic Kripke models, to bisimulations, and to quotients for transition kernels.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。