Dendrites as Polish structures
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- by Riccardo Camerlo PDF
- Proc. Amer. Math. Soc. 139 (2011), 2217-2225 Request permission
Abstract:
It is shown that standard universal dendrites under the action of their group of homeomorphisms give rise to small Polish structures. Moreover, any non-singleton dendrite forming a small Polish structure (or, more generally, having at least one uncountable orbit) under the action of its group of homeomorphisms has $\mathcal N \mathcal M$-rank $1$. Finally, dendrites satisfy the existence of nm-independent extensions.References
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Additional Information
- Riccardo Camerlo
- Affiliation: Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy
- MR Author ID: 663257
- Email: camerlo@calvino.polito.it
- Received by editor(s): December 8, 2009
- Received by editor(s) in revised form: May 5, 2010, June 1, 2010, and June 4, 2010
- Published electronically: November 10, 2010
- Communicated by: Julia Knight
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2217-2225
- MSC (2010): Primary 03C45, 03E15, 54F15
- DOI: https://doi.org/10.1090/S0002-9939-2010-10627-5
- MathSciNet review: 2775399