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Is completeness a necessary assumption for the Birkhoff Transitivity Theorem?

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#real-analysis #functional-analysis #dynamical-systems #topological-dynamics
174
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Topological Transitivity and Existence of Non-surjective Map

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#general-topology #dynamical-systems #ergodic-theory #topological-dynamics
120
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Strong Topological Conjugacy and Reparameterization of Flows

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#general-topology #dynamical-systems #topological-dynamics
393
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Any two orientation-preserving homeomorphisms of $[a,b]$ without fixed point in $(a,b)$ are topologically conjugate

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#general-topology #analysis #dynamical-systems #topological-dynamics
285
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Topological entropy is finite?

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#dynamical-systems #entropy #topological-dynamics
379
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Topological conjugacy between linear maps in dimension $1$

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#general-topology #analysis #dynamical-systems #topological-dynamics
240
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On the non-wandering set of a map

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#general-topology #dynamical-systems #topological-dynamics
416
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There is no expansive homeomorphism on $S^1$

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#general-topology #dynamical-systems #topological-dynamics
295
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Direct proof for any homeomorphism on $[0,1]$ having zero entropy

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#reference-request #metric-spaces #dynamical-systems #entropy #topological-dynamics
354
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Is there any continuous transformation on a compact metric space with infinite topological entropy?

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#general-topology #metric-spaces #dynamical-systems #entropy #topological-dynamics
65
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What is Ellis (enveloping) semigroup of irrational rotation of unit circle?

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#analysis #dynamical-systems #topological-dynamics
137
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Why, in the study of topological dynamical systems, it is required that the metric space is compact or locally compact?

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#general-topology #dynamical-systems #entropy #ergodic-theory #topological-dynamics
397
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Topological weakly mixing implies totally transitive

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#general-topology #dynamical-systems #topological-dynamics
398
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What is the difference between non-wandering points and recurrent points in dynamical systems?

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#general-topology #dynamical-systems #topological-dynamics
74
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(When) does a group action generate a basis of a topological space by refinements of open covers?

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#general-topology #dynamical-systems #group-actions #ergodic-theory #topological-dynamics

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