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Topological groups and semigroups are fundamental objects in ergodic theory. This chapter collects some very basic facts about them, mostly without proofs, with the aim to set up the stage for nilsystems which will be discussed in Chap. 14 .

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Groups, Semigroups and Homogeneous Spaces

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  • 发表日期：

    2025年

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  • Tanja Eisner,
  • Bálint Farkas

摘要

Topological groups and semigroups are fundamental objects in ergodic theory. This chapter collects some very basic facts about them, mostly without proofs, with the aim to set up the stage for nilsystems which will be discussed in Chap. 14 .