The universal minimal flow of the homeomorphism group of the Lelek fan

Dana Bartošová; Aleksandra Kwiatkowska

doi:10.1090/tran/7548

The universal minimal flow of the homeomorphism group of the Lelek fan

Transactions of the American Mathematical Society ◽

10.1090/tran/7548 ◽

2018 ◽

Vol 371 (10) ◽

pp. 6995-7027 ◽

Cited By ~ 1

Author(s):

Dana Bartošová ◽

Aleksandra Kwiatkowska

Keyword(s):

Minimal Flow ◽

Homeomorphism Group

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UNIVERSAL MINIMAL FLOWS OF GENERALIZED WAŻEWSKI DENDRITES

Journal of Symbolic Logic ◽

10.1017/jsl.2018.26 ◽

2018 ◽

Vol 83 (04) ◽

pp. 1618-1632 ◽

Cited By ~ 3

Author(s):

ALEKSANDRA KWIATKOWSKA

Keyword(s):

Minimal Flow ◽

Topological Groups ◽

Homeomorphism Group ◽

Image Position ◽

Homeomorphism Groups

AbstractWe study universal minimal flows of the homeomorphism groups of generalized Ważewski dendrites WP, $P \subseteq \left\{ {3,4, \ldots ,\omega } \right\}$. If P is finite, we prove that the universal minimal flow of the homeomorphism group H (WP) is metrizable and we compute it explicitly. This answers a question of Duchesne. If P is infinite, we show that the universal minimal flow of H (WP) is not metrizable. This provides examples of topological groups which are Roelcke precompact and have a nonmetrizable universal minimal flow with a comeager orbit.

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Modeling and control of minimal flow unit turbulence in plane couette flow

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272965 ◽

2004 ◽

Cited By ~ 1

Author(s):

T.R. Smith ◽

J. Moehlis ◽

P.J. Holmes

Keyword(s):

Couette Flow ◽

Flow Unit ◽

Minimal Flow ◽

Plane Couette Flow ◽

Modeling And Control ◽

And Control

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The homeomorphism group of X

Absolute Measurable Spaces ◽

10.1017/cbo9780511721380.004 ◽

2010 ◽

pp. 53-98

Author(s):

Togo Nishiura

Keyword(s):

Homeomorphism Group

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CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS

Glasgow Mathematical Journal ◽

10.1017/s0017089518000502 ◽

2018 ◽

Vol 62 (1) ◽

pp. 13-41

Author(s):

MICHAEL S. WEISS

Keyword(s):

Compact Manifold ◽

Geometric Conditions ◽

Homeomorphism Group ◽

Manifold With Boundary ◽

Smooth Compact Manifold

AbstractLet M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the pair (M, ∂M) can be recovered from the configuration category of M \ ∂M. The grouplike monoid of derived homotopy automorphisms of the configuration category of M \ ∂M then acts on the homotopical model of (M, ∂M). That action is compatible with a better known homotopical action of the homeomorphism group of M \ ∂M on (M, ∂M).

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