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15
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Hausdorff dimension of a connected set in $\mathbb{R}$

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#connectedness #dimension-theory-analysis
80
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Is a random walk in 1.585-dimensional space transient or recurrent?

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#markov-process #random-walk #fractals #dimension-theory-analysis
61
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Number of regular $n$-topes in $\mathbb{R}^n$ for $n\in\mathbb{R}$?

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#soft-question #polyhedra #platonic-solids #dimension-theory-analysis
58
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What proportion of the volume of Gabriel's horn could be filled by its surface area?

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#differential-geometry #metric-spaces #ratio #dimension-theory-analysis
123
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Can a manifold have infinite Minkowski dimension?

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#differential-geometry #manifolds #dimension-theory-analysis
154
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Hausdorff dimension of a connected set in $\mathbb{R}^d$

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#connectedness #path-connected #dimension-theory-analysis
32
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Lyapunov dimension

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#chaos-theory #nonlinear-dynamics #lyapunov-functions #dimension-theory-analysis
97
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Is there a property of compact metric spaces with intermediate dimension in the Gromov-Hausdorff space?

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#logic #metric-spaces #model-theory #dimension-theory-analysis
80
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Motivation for the concept of dimension

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#fractals #dimension-theory-analysis
47
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Union of one-dimensional family of straight lines has zero measure

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#measure-theory #hausdorff-measure #dimension-theory-analysis
34
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Heuristic 'characterization' of Hausdorff dimension

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#soft-question #hausdorff-measure #dimension-theory-analysis
193
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Is there a topos-theoretic notion of "dimension"?

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#reference-request #category-theory #soft-question #topos-theory #dimension-theory-analysis
100
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How to calculate Information Dimension

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#limits #logarithms #entropy #dimension-theory-analysis #network
95
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Does non-zero and finite Hausdorff dimension imply non-zero and finite Hausdorff measure?

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#measure-theory #geometric-measure-theory #dimension-theory-analysis #hausdorff-measure
171
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Topological Dimension of Quotient Space

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#general-topology #lie-groups #topological-groups #quotient-spaces #dimension-theory-analysis

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