An example of a non non-archimedean Polish group with ample generics
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- by Maciej Malicki PDF
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Abstract:
For an analytic $P$-ideal $I$ we denote by $S_I$ the Polish group of all the permutations of $\mathbb{N}$ with support in $I$, equipped with a topology given by the corresponding submeasure on $I$. We show that if $\mbox {Fin} \subsetneq I$, then $S_I$ has ample generics. This implies that there exists a non non-archimedean Polish group with ample generics.References
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Additional Information
- Maciej Malicki
- Affiliation: Department of Mathematics and Mathematical Economics, Warsaw School of Economics, al. Niepodleglosci 162, 02-554,Warsaw, Poland
- MR Author ID: 756387
- Email: mamalicki@gmail.com
- Received by editor(s): March 17, 2015
- Received by editor(s) in revised form: October 23, 2015
- Published electronically: March 30, 2016
- Communicated by: Mirna Džamonja
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 3579-3581
- MSC (2010): Primary 03E15, 54H11
- DOI: https://doi.org/10.1090/proc/13017
- MathSciNet review: 3503726