smooth curve has measure zero in $\mathbb R^3$
38026
A piecewise $C^1$ curve has Jordan measure zero.
99230
If a manifold M has zero Euler characteristic, there is a non-vanishing vector field on it
95260
Let $m$ be Lebesgue measure and $a \in R$. Suppose that $f : R \to R$ is integrable, and $\int_a^xf(y) \, dy = 0$ for all $x$. Then $f = 0$ a.e.
67020
Proving that for a smooth function if $f(\frac 1 k)=0 :\forall k\in \mathbb N$ then $f(x)=0 :\forall x\in[-1,1]$
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
113799
Is there an injective $C^1$ curve dense in the plane?
97209
Smoothness of a surface
128862
Prove no existing a smooth function satisfying ... related to Morse Theory
119947
Can a non-zero vector have zero image under every linear functional?
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
154012
A simple curve of positive area
60053
Does the boundary of an open set have measure zero (in $\mathbb{R}^n$)?
151735
$\mathbb{R}^3 \setminus A$ deformation retracts onto $S^1 \vee S^2$
96567
Immersion of $\mathbb{R}$ to $\mathbb{R}^2$
1162
Why $\{\mathbf{0}\}$ has dimension zero?
118987
Birational map from elliptic curve keeps smoothness?
130180
Smooth function with all derivatives zero