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Can arbitrary Banach spaces be embedded into spheres?

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#general-topology #banach-spaces #dimension-theory-analysis
1.9k
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The 1-dimensional Hausdorff measure of a curve in the plane

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#real-analysis #measure-theory #brownian-motion #dimension-theory-analysis
1.3k
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Is the Hausdorff dimension less than the box counting dimension?

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#fractals #dimension-theory-analysis
107
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Topological dimension and derham cohomological dimension

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#general-topology #algebraic-topology #homological-algebra #homology-cohomology #dimension-theory-analysis
390
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Question on dimensions

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#dimension-theory-analysis
1.8k
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Can four lines be perpendicular

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#geometry #dimension-theory-analysis
66
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Solid Ball Bearing 4 Dimensional?

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#dimension-theory-analysis #low-dimensional-topology
36
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Equal fields and dimension

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#field-theory #proof-writing #extension-field #dimension-theory-analysis
1.1k
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Hausdorff dimension of $\mathrm{R}^d$

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#measure-theory #dimension-theory-analysis
175
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Examples and counterexamples in dimension theory

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#general-topology #dimension-theory-analysis
897
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Hausdorff dimension mathces Box-counting dimension

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#general-topology #measure-theory #reference-request #dimension-theory-analysis
1.3k
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How to correctly calculate the fractal dimension of a finite set of points?

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#fractals #geometric-measure-theory #dimension-theory-analysis
753
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Fractals - when the number of seed shapes that can fit into the scaled-up copy is non-integer.

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#general-topology #geometry #fractals #pattern-recognition #dimension-theory-analysis
116
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Hausdorff dimension of computable real numbers

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#computability #dimension-theory-analysis
129
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Questions about the Nature of Chirality (with some focus on dimensionality)

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#general-topology #geometric-topology #dimension-theory-analysis #low-dimensional-topology

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