THE UNIVERSAL MINIMAL FLOW OF THE HOMEOMORPHISM GROUP OF THE LELEK FAN

Author(s)

Bartosova, Dana ^{[1, 2]} ; Kwiatkowska, Aleksandra ^{[3, 4]}

Affiliation

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 - USA

^[3] Univ Munster, Inst Math Log & Grundlagenforsch, Einsteinstr 62, D-48149 Munster - Germany

^[4] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw - Poland

• Document type: Journal article
• Source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 371, n. 10, p. 6995-7027, MAY 15 2019.
• Web of Science Citations: 0

Abstract

We compute the universal minimal flow of the homeomorphism group of the Lelek fan a one-dimensional tree-like continuum with many symmetries. (AU)

• FAPESP's process: 14/12405-8 - Ramsey expansions and their applications
• Grantee: Dana Bartosova
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 13/14458-9 - Algebra in the Cech-Stone compactification and its applications to topological dynamics, ergodic theory and Ramsey theory.
• Grantee: Dana Bartosova
• Support Opportunities: Scholarships in Brazil - Post-Doctoral