Intereting Posts

To confirm the Novikov's condition
Irreducible Polynomials in two complex variables
How can I determine the sequence generated by a generating function?
Totally disconnected space
If $2^n – 1$ is prime from some integer $n$, prove that n must also be prime.
Expected number of frog jumps
Representing the tensor product of two algebras as bounded operators on a Hilbert space.
Is $C^1$ with the norm $\left \| f \right \|_1=(\int_{a}^{b}\left | f(t) \right |dt)+(\int_{a}^{b}\left | f´(t) \right |dt)$ a complete space?
Hatcher: S^2 having a CW complex of 5/6 vertices
Riemann tensor in terms of the metric tensor
Is it possible for function $f : \mathbb{R} \to \mathbb{R}$ have a maximum at every point in a countable dense subset of its domain?
Why are vector spaces not isomorphic to their duals?
For every irrational $\alpha$, the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
How to solve initial value problem for recurrence relation when both condition = 1?
Intuitive significance open sets (and software for learning topology?)

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.

- $n$ Lines in the Plane
- Prove it is a circle
- Distances to line passing through the centroid of triangle
- What is a straight line?
- Goat tethered in a circular pen
- Why is the Möbius strip not orientable?

- Weak convergence of finite measure preserving transformations
- Weak limit of an $L^1$ sequence
- Expectation of $QQ^T$ where $Q^TQ=I$
- Calculation of the $s$-energy of the Middle Third Cantor Set
- Lebesgue density strictly between 0 and 1
- Lower bound on product of distances from points on a circle
- Do there exist two singular measures whose convolution is absolutely continuous?
- construct circle tangent to two given circles and a straight line
- Is “product” of Borel sigma algebras the Borel sigma algebra of the “product” of underlying topologies?
- How to distinguish between walking on a sphere and walking on a torus?

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 $M^\circ$.

- Functional Equation $f(x+y)=f(x)+f(y)+f(x)f(y)$
- The functional equation $f(x)+f(y)+f(z)+f(x+y+z)=f(x+y)+f(y+z)+f(z+x)$
- To prove Cayley-Hamilton theorem, why can't we substitute $A$ for $\lambda$ in $p(\lambda) = \det(\lambda I – A)$?
- How does the Hahn-Banach theorem implies the existence of weak solution?
- Circles and tangents and circumcircles
- Does every infinite-dimensional inner product space have an orthonormal basis?
- Whether matrix exponential from skew-symmetric 3×3 matrices to SO(3) is local homeomorphism?
- Prove that $(n!)!$ divisible by $(n!)^{(n-1)!}$
- If $n>m$, then the number of $m$-cycles in $S_n$ is given by $\frac{n(n-1)(n-2)\cdots(n-m+1)}{m}$.
- Converse of interchanging order for derivatives
- Why is Infinity multiplied by Zero not an easy Zero answer?
- Find the almost sure limit of $X_n/n$, where each random variable $X_n$ has a Poisson distribution with parameter $n$
- Number of pairs of strings satisfying the given condition
- Do there exist bounded operators with unbounded inverses?
- Combinatorics: Number of subsets with cardinality k with 1 element.