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This chapter is about standard ways of building new mpts out of one or more given mpts, and what information this practice can yield. Topics covered include inducing (Section 5.1); powers and products (Section 5.2); skew products, factors and extensions (Section 5.3); and natural extensions, a way of building an invertible mpt out of a noninvertible one (Section 5.4).

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Operations on Measure-Preserving Transformations

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  • 发表日期：

    2026年

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  • Alex Blumenthal,
  • Lai-Sang Young

摘要

This chapter is about standard ways of building new mpts out of one or more given mpts, and what information this practice can yield. Topics covered include inducing (Section 5.1); powers and products (Section 5.2); skew products, factors and extensions (Section 5.3); and natural extensions, a way of building an invertible mpt out of a noninvertible one (Section 5.4).