List questions from dimension-theory-analysis

Published on 23 Mar 2026 - 7:50

119

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What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

Published on 25 Mar 2026 - 1:18

436

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If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

Published on 23 Mar 2026 - 16:00

36

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$\dim_{cov}(X)=\max\{\dim_{cov}(K), \dim_{cov}(X\backslash K)\}$ for $X$ compact metric space, $K$ compact?

Published on 23 Mar 2026 - 14:34

83

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For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Published on 23 Mar 2026 - 12:16

589

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Ordinal vs cardinal dimension

Published on 23 Mar 2026 - 8:07

236

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The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Published on 23 Mar 2026 - 6:43

131

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Hausdorff measure of the Cartesian square of a Cantor like set

Published on 22 Mar 2026 - 19:13

1.3k

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The boundary of a singleton in $\mathbb{R}$

Published on 23 Mar 2026 - 9:25

169

Views

Propeties of the Hausdorff Measure

Published on 23 Mar 2026 - 0:19

98

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When Higher Dimensions Help

Published on 22 Mar 2026 - 21:10

92

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Derivative Graph Conceptualization

Published on 23 Mar 2026 - 13:41

585

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Parametric equation of a rotated circle in 4 dimensions

Published on 25 Mar 2026 - 3:02

233

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Intuition behind the Minkowski dimension and measure

Published on 22 Mar 2026 - 19:18

171

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What is the effective dimension of this network?

Published on 24 Mar 2026 - 22:09

List Question

Dimension of the local sections of a scheme is bounded by the dimension of the scheme

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

$\dim_{cov}(X)=\max\{\dim_{cov}(K), \dim_{cov}(X\backslash K)\}$ for $X$ compact metric space, $K$ compact?

For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Ordinal vs cardinal dimension

The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Hausdorff measure of the Cartesian square of a Cantor like set

The boundary of a singleton in $\mathbb{R}$

Propeties of the Hausdorff Measure

When Higher Dimensions Help

Derivative Graph Conceptualization

Parametric equation of a rotated circle in 4 dimensions

Intuition behind the Minkowski dimension and measure

What is the effective dimension of this network?

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