query: Is the Lebesgue measure of any open ball in Euclidean space zero?
positive_passages.docid: 20810
positive_passages.text: Boundary of Ball of radius R has zero measure
negative_passages.docid: 28511
negative_passages.text: Hypervolume of a $N$-dimensional ball in $p$-norm
negative_passages.docid: 61481
negative_passages.text: Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
negative_passages.docid: 37206
negative_passages.text: $\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$
negative_passages.docid: 24653
negative_passages.text: Integral in $n-$dimensional euclidean space
negative_passages.docid: 123806
negative_passages.text: How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
negative_passages.docid: 131793
negative_passages.text: Zero integral of measurable $f$ on every interval implies $f=0$?
negative_passages.docid: 98756
negative_passages.text: Unit ball in $C[0,1]$ not sequentially compact
negative_passages.docid: 38581
negative_passages.text: Construct a Borel set on R such that it intersect every open interval with non-zero non-"full" measure
negative_passages.docid: 134310
negative_passages.text: Minkowski sum of a positive Lebesgue measure set and $\mathbb{Q}$.
negative_passages.docid: 35713
negative_passages.text: Let $X\subset \mathbb{R}$ Lebesgue measurable, $|X|<|\mathbb{R}|$, is it true that $X$ is null?
negative_passages.docid: 15645
negative_passages.text: Is convex open set in $\mathbb{R}^n$ is regular?
negative_passages.docid: 12467
negative_passages.text: Why does this proof work: Closed unit ball in $C_0$ is not compact
negative_passages.docid: 74355
negative_passages.text: Convergence in measure and almost everywhere
negative_passages.docid: 58347
negative_passages.text: $L^p$ spaces and counting measure
negative_passages.docid: 40014
negative_passages.text: A polynomial that is zero on an open set
negative_passages.docid: 107160
negative_passages.text: Open Set and Measure Theory