Intereting Posts

Find the value of : $\lim_{n\to\infty}\prod_{k=1}^n\cos\left(\frac{ka}{n\sqrt{n}}\right)$
Help solving a complicated equation
Gaussian integral evaluation
How do I find the number of group homomorphisms from $S_3$ to $\mathbb{Z}/6\mathbb{Z}$?
Number Of Solutions $X^{2}=X$
A book for self-study of matrix decompositions
Can Euler's identity be extended to quaternions?
For group $\mathbb{Z_{18}^*}$, how do I find all subgroups
Random variable independent of itself
How do I show that a holomorphic function which satisfies this bound on reciprocals of integers is identically zero?
Sum of unit and nilpotent element in a noncommutative ring.
Prove that a subset of a separable set is itself separable
prove $ \frac{1}{13}<\frac{1}{2}\cdot \frac{3}{4}\cdot \frac{5}{6}\cdot \cdots \cdot \frac{99}{100}<\frac{1}{12} $
Proof of an inequality in a triangle
Are there spaces “smaller” than $c_0$ whose dual is $\ell^1$?

If there are two “nice” shapes in $R^2$, such as circles or polygons, whose intersection has area 0, then they must be interior-disjoint, as their intersection can only contain pieces of their boundary.

My question is: what is a simple term for those “nice” subsets of $R^2$ for which intersection of area 0 implies interior-disjointness?

I am not looking for the most general term – just a simple term which I can use in a paper on another topic.

- Locus of vertex of parabolas through three points
- For any convex polygon there is a line that divides both its area and perimeter in half.
- rectangularizing the square
- Calculate the area of the crescent
- Defining/constructing an ellipse
- Proof that the Convex Hull of a finite set S is equal to all convex combinations of S

- What are these 3D shapes, if anything?
- Why does GPS require a minimum of 24 satellites?
- Not a small, not a big set
- How to split an integral exactly in two parts
- Are simple functions dense in $L^\infty$?
- Measurability problem of sample distribution function of a contiuum of independent random variable
- Bepo - levi implies monotonone convergence theorem??
- Iterated Integrals - “Counterexample” to Fubini's Theorem
- A question concerning measurability of a function
- A topology on the set of lines?

This holds for arbitrary (measurable) subsets $A,B \subset \Bbb{R}^2$, because

$$

A^\circ \cap B^\circ \subset A \cap B

$$

is an open set (finite intersection of open sets) of measure zero, thus empty, where I denoted the (topological) interior relative to $\Bbb{R}^2$ of a set $M$ by $M^\circ$.

- Could a square be a perfect number?
- Lower bound for monochromatic triangles in $K_n$
- Second part of the factorial sum divisibility question
- Continuity and Joint Continuity
- 'mod' or 'remainder' symbol valid in maths?
- Can the principle of explosion be removed from constructive logic?
- Verify if symmetric matrices form a subspace
- Ultimate GRE Prep
- Asymptotic expansion of $J(t) = \int^{\infty}_{0}{\exp(-t(x + 4/(x+1)))}\, dx$
- Defining cardinality in the absence of choice
- Horse and snail problem.
- Why are the probability of rolling the same number twice and the probability of rolling pairs different?
- Convolution Laplace transform
- $(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
- Liouville function and perfect square