On compactifications and the topological dynamics of definable groupsReport as inadecuate



 On compactifications and the topological dynamics of definable groups


On compactifications and the topological dynamics of definable groups - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: On compactifications and the topological dynamics of definable groups
We discuss definable compactifications and topological dynamics. For G a group definable in some structure M, we define notions of -definable- compactification of G and -definable- action of G on a compact space X definable G-flow, where the latter is under a definability of types assumption on M. We describe the universal definable compactification of G as G*-G*00 M and the universal definable G-ambit as the type space S {G}M. We also prove existence and uniqueness of -universal minimal definable G-flows-, and discuss issues of amenability and extreme amenability in this definable category, with a characterization of the latter. For the sake of completeness we also describe the universal Bohr compactification and universal G-ambit in model-theoretic terms, when G is a topological group although it is essentially well-known.



Author: Jakub Gismatullin; Davide Penazzi; Anand Pillay

Source: https://archive.org/



DOWNLOAD PDF




Related documents