User Saúl RM

7 votes

Accepted

Is there a path-connected, "anti-convex" subset of $\mathbb R^2$ containing $(\mathbb R\smallsetminus \mathbb Q)^2$?

answered May 11 at 19:40

6 votes

Accepted

Is there a singular function that is Hölder continuous of every order less than $1$?

answered May 24 at 1:56

6 votes

Accepted

Can a differentiable function be nowhere locally $\alpha$-Hölder for all $\alpha > 0$?

answered Jun 8 at 11:43

6 votes

Accepted

Is there a set of point $S \subset \mathbb R^2$ such that $|\{C: C \text{ is unit circle boundary }, |C \cap S| = 10\}| > |S|$

answered Jun 22 at 18:31

6 votes

Accepted

How many pairwise non-homeomorphic non-empty closed subsets of the Cantor set are there?

answered Nov 12, 2022 at 7:09

6 votes

Accepted

Do these properties characterize Hilbert spaces?

answered Oct 25, 2022 at 21:14

6 votes

Accepted

Boundedness of orbits and limit sets

answered Apr 15, 2022 at 16:32

6 votes

What is the smallest size of a shape in which all fixed $n$-polyominos can fit?

answered Apr 26, 2022 at 22:45

5 votes

Accepted

Does $C[0, 1]$ admit a covering by sets of arbitrarily small eccentricity?

answered Dec 10, 2021 at 12:03

5 votes

Accepted

Center of convex figure

answered Oct 19, 2022 at 23:31

5 votes

If $\mathcal{H}^{n-1}(K)=0$ then $\mathcal{H}^n(K\times \mathbb{R})=0$

answered Oct 26, 2023 at 2:50

5 votes

Accepted

Cover the $n$-disc irredundantly with $n+1$ open sets. Suppose that the $(n+1)$-fold intersection is empty. Then is some $n$-fold intersection empty?

answered Apr 11 at 1:13

5 votes

Accepted

Pythagorean theorem in Riemann metrics of non constant curvature

answered May 21, 2023 at 1:08

5 votes

A density claim

answered Mar 11, 2023 at 21:59

5 votes

Accepted

Does the surface area of the unit Lp ball go to zero for all $p < \infty$?

answered Feb 2, 2023 at 18:06

5 votes

Convex set with no interior contained in hyperplane?

answered Jun 9 at 15:22

5 votes

Accepted

Estimating shortest paths in planar drawings of graphs

answered May 21 at 2:33

5 votes

Is there a path-connected, "anti-convex" subset of $\mathbb R^2$ containing $(\mathbb R\smallsetminus \mathbb Q)^2$?

answered May 12 at 3:32

5 votes

Accepted

Limits along lines for the gradient of a convex function

answered May 30 at 2:58

5 votes

Convergence of sequences formed by orthocenters, incenters, and centroids in repeated triangle constructions

answered Jun 1 at 23:27

4 votes

Pushing a convex cone and equidistants

answered May 15 at 16:16

4 votes

Accepted

Why can any open subset $U$ of $\mathbb{Q}^\infty$ be written as disjoint union of basic clopen subsets?

answered Jun 9, 2022 at 17:30

4 votes

Accepted

Subset in $[0,1]^k$ with positive density

answered May 9 at 11:12

4 votes

Accepted

Is there an explicit, everywhere surjective $f:\mathbb{R}\to\mathbb{R}$ whose graph has zero Hausdorff measure in its dimension?

answered Aug 9 at 0:02

4 votes

Accepted

What is the minimum-curvature curve interpolating a given set of points in the plane?

answered Dec 19, 2022 at 1:12

4 votes

Accepted

On existence of a concave function

answered Nov 25, 2022 at 2:18

4 votes

closest equidistant point to N points in M dimensions

answered Jan 18, 2022 at 0:14

3 votes

Accepted

Is the max-centre map continuous for open bounded domains?

answered Jan 10, 2022 at 15:23

3 votes

Accepted

Images of a closed and continuous mapping with domain $\Bbb{N}^\Bbb{N}$

answered Apr 10, 2022 at 15:27

3 votes

Equidistant points on a compact Riemannian manifold

answered Mar 9, 2022 at 0:23

Stack Exchange Network

99 Answers

Is there a path-connected, "anti-convex" subset of $\mathbb R^2$ containing $(\mathbb R\smallsetminus \mathbb Q)^2$?

Is there a singular function that is Hölder continuous of every order less than $1$?

Can a differentiable function be nowhere locally $\alpha$-Hölder for all $\alpha > 0$?

Is there a set of point $S \subset \mathbb R^2$ such that $|\{C: C \text{ is unit circle boundary }, |C \cap S| = 10\}| > |S|$

How many pairwise non-homeomorphic non-empty closed subsets of the Cantor set are there?

Do these properties characterize Hilbert spaces?

Boundedness of orbits and limit sets

What is the smallest size of a shape in which all fixed $n$-polyominos can fit?

Does $C[0, 1]$ admit a covering by sets of arbitrarily small eccentricity?

Center of convex figure

If $\mathcal{H}^{n-1}(K)=0$ then $\mathcal{H}^n(K\times \mathbb{R})=0$

Cover the $n$-disc irredundantly with $n+1$ open sets. Suppose that the $(n+1)$-fold intersection is empty. Then is some $n$-fold intersection empty?

Pythagorean theorem in Riemann metrics of non constant curvature

A density claim

Does the surface area of the unit Lp ball go to zero for all $p < \infty$?

Convex set with no interior contained in hyperplane?

Estimating shortest paths in planar drawings of graphs

Is there a path-connected, "anti-convex" subset of $\mathbb R^2$ containing $(\mathbb R\smallsetminus \mathbb Q)^2$?

Limits along lines for the gradient of a convex function

Convergence of sequences formed by orthocenters, incenters, and centroids in repeated triangle constructions

Pushing a convex cone and equidistants

Why can any open subset $U$ of $\mathbb{Q}^\infty$ be written as disjoint union of basic clopen subsets?

Subset in $[0,1]^k$ with positive density

Is there an explicit, everywhere surjective $f:\mathbb{R}\to\mathbb{R}$ whose graph has zero Hausdorff measure in its dimension?

What is the minimum-curvature curve interpolating a given set of points in the plane?

On existence of a concave function

closest equidistant point to N points in M dimensions

Is the max-centre map continuous for open bounded domains?

Images of a closed and continuous mapping with domain $\Bbb{N}^\Bbb{N}$

Equidistant points on a compact Riemannian manifold