A new short proof for the uniqueness of the universal minimal space
HTML articles powered by AMS MathViewer
- by Yonatan Gutman and Hanfeng Li PDF
- Proc. Amer. Math. Soc. 141 (2013), 265-267 Request permission
Abstract:
We give a new short proof for the uniqueness of the universal minimal space. The proof holds for the uniqueness of the universal object in every collection of topological dynamical systems closed under taking projective limits and possessing universal objects.References
- Joseph Auslander, Minimal flows and their extensions, North-Holland Mathematics Studies, vol. 153, North-Holland Publishing Co., Amsterdam, 1988. Notas de Matemática [Mathematical Notes], 122. MR 956049
- Robert Ellis, Distal transformation groups, Pacific J. Math. 8 (1958), 401–405. MR 101283
- Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
- Katsumi Numakura, On bicompact semigroups, Math. J. Okayama Univ. 1 (1952), 99–108. MR 48467
- Vladimir Uspenskij, On universal minimal compact $G$-spaces, Proceedings of the 2000 Topology and Dynamics Conference (San Antonio, TX), 2000, pp. 301–308. MR 1875600
- J. de Vries, Elements of topological dynamics, Mathematics and its Applications, vol. 257, Kluwer Academic Publishers Group, Dordrecht, 1993. MR 1249063, DOI 10.1007/978-94-015-8171-4
Additional Information
- Yonatan Gutman
- Affiliation: Laboratoire d’Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, 5 Boulevard Descartes, Cité Descartes-Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France
- Email: yonatan.gutman@univ-mlv.fr
- Hanfeng Li
- Affiliation: Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14260-2900
- Email: hfli@math.buffalo.edu
- Received by editor(s): March 30, 2011
- Received by editor(s) in revised form: June 13, 2011
- Published electronically: May 15, 2012
- Communicated by: Yingfei Yi
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 265-267
- MSC (2010): Primary 37B05, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-2012-11299-7
- MathSciNet review: 2988728