List questions from dimension-theory-analysis

Published on 21 Mar 2026 - 17:04

642

Views

Hausdorff dimension of an open set

Published on 22 Mar 2026 - 13:55

682

Views

Is it possible to have a Hausdorff dimension less than the topological dimension?

Published on 10 Mar 2019 - 3:15

112

Views

The box dimension of the graph of a continuous function is $\ge 1$

Published on 22 Mar 2026 - 11:48

188

Views

Size of $\epsilon$-net on a $2$-dimensional compact manifold

Published on 22 Mar 2026 - 5:40

902

Views

Why are Hausdorff dimension and Minkowski (box) dimension not equivalent?

Published on 20 Mar 2019 - 18:24

146

Views

Small Inductive Dimension is a topological invariant

Published on 22 Mar 2026 - 11:46

207

Views

About homogeneous dimensions of a Lie group

Published on 22 Mar 2026 - 15:41

120

Views

Covering dimension of boundary of compact subset of $\mathbb{R}^n$

Published on 22 Mar 2026 - 0:44

170

Views

Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

Published on 21 Apr 2019 - 11:11

108

Views

Must a subset of $\mathbb{R} ^n$, that has a dimension of $1$, be formed by a union of lines?

Published on 22 Mar 2026 - 11:36

660

Views

The Hausdorff dimension of the zero set of a real analytic function

Published on 22 Mar 2026 - 15:33

180

Views

Link between topological dimension and Hamel (algebraic) dimension of a vector space

Published on 22 Mar 2026 - 8:25

40

Views

What is a dimension? nD -> 1D mapping with space filling curve

Published on 22 Mar 2026 - 4:48

69

Views

How to define a notion of Hausdorff homeomorphism?

Published on 22 Mar 2026 - 4:22

List Question

How to make a 5-cell-shaped maze?

Hausdorff dimension of an open set

Is it possible to have a Hausdorff dimension less than the topological dimension?

The box dimension of the graph of a continuous function is $\ge 1$

Size of $\epsilon$-net on a $2$-dimensional compact manifold

Why are Hausdorff dimension and Minkowski (box) dimension not equivalent?

Small Inductive Dimension is a topological invariant

About homogeneous dimensions of a Lie group

Covering dimension of boundary of compact subset of $\mathbb{R}^n$

Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

Must a subset of $\mathbb{R} ^n$, that has a dimension of $1$, be formed by a union of lines?

The Hausdorff dimension of the zero set of a real analytic function

Link between topological dimension and Hamel (algebraic) dimension of a vector space

What is a dimension? nD -> 1D mapping with space filling curve

How to define a notion of Hausdorff homeomorphism?

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