THE UNIVERSAL MINIMAL SYSTEM FOR THE GROUP OF HOMEOMORPHISMS OF THE CANTOR SET

By Eli Glasner, Barak Weiss. 2003

69 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b950db1e6957214ec14eec8e129ff8f298263cf3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Slawomir Solecki
2. Christian Rosendal
3. Alexander S. Kechris

In Geometry and Topology

1. Slawomir Solecki
2. Christian Rosendal
3. Alexander S. Kechris
4. Stevo Todorcevic
5. Vladimir G. Pestov
6. Todor Tsankov
7. A. Furman
8. V. Uspenskij

In Mathematical Physics

1. Slawomir Solecki
2. Christian Rosendal
3. Alexander S. Kechris
4. Stevo Todorcevic
5. Vladimir G. Pestov
6. Lewis Bowen
7. Todor Tsankov
8. A. Furman

Citations in the corpus

• Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups (2003, background): “of S∞, the group of permutations of N with the pointwise convergence topology. It turns out to be the canonical action on the compact, metrizable space of linear orderings on N. Finally Glasner-Weiss [31] computed the universal minimal flow of the group H(2N) of the homeomorphisms of the Cantor space”
• Automatic continuity of homomorphisms and fixed points on metric compacta (2006, methodology): “Glasner and Weiss [5] computed the universal minimal flow of Homeo(2) to be equal to the canonical action on the space of maximal cha ins of compact subsets of 2, a space which was first introduced and studied by Uspenskij [ 20].”