List questions from topological-dynamics

Published on 29 Apr 2022 - 13:21

147

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Existence of a minimal continuous map on $S^1 \times [0, 1]$

Published on 08 May 2022 - 9:55

479

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Tent map is topologically transitive

Published on 15 May 2022 - 13:00

185

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The tent map system is transitive. Can we actually identify any of the infinitely many transitive points, however?

Published on 16 May 2022 - 11:48

89

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Every compact metric space contains some minimal set

Published on 20 May 2022 - 12:42

266

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Prove that $\omega$-limit set of a recurrent point of a planar flow is a periodic orbit.

Published on 06 Jun 2022 - 7:53

242

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Left Translation Action is Ergodic with respect to Haar

Published on 15 Jul 2022 - 19:57

69

Views

Actions on Bernoulli space have almost the same orbits

Published on 28 Jul 2022 - 21:30

330

Views

Uniqueness of the Fixed Point when $f'(x) < 1$ at Fixed Points

Published on 21 Aug 2022 - 22:53

19

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What is the definition of the $\omega$-limit set of a point for semiflow?

Published on 24 Feb 2026 - 6:51

79

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Topological dynamical systems where all ergodic measures satisfy additional properties

Published on 15 Jan 2023 - 5:08

66

Views

Inequality involving minimal cardinality of open subcovers

Published on 18 Jan 2023 - 11:48

53

Views

Is there a standard term for the log cardinality, or entropy, of the pre-image of an element with respect to a function?

Published on 24 Jan 2023 - 20:01

List Question

$S \times T$ is mixing iff $S$ and $T$ are mixing

Existence of a minimal continuous map on $S^1 \times [0, 1]$

Tent map is topologically transitive

The tent map system is transitive. Can we actually identify any of the infinitely many transitive points, however?

Every compact metric space contains some minimal set

Prove that $\omega$-limit set of a recurrent point of a planar flow is a periodic orbit.

Left Translation Action is Ergodic with respect to Haar

Actions on Bernoulli space have almost the same orbits

Uniqueness of the Fixed Point when $f'(x) < 1$ at Fixed Points

What is the definition of the $\omega$-limit set of a point for semiflow?

Topological dynamical systems where all ergodic measures satisfy additional properties

Inequality involving minimal cardinality of open subcovers

Is there a standard term for the log cardinality, or entropy, of the pre-image of an element with respect to a function?

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