Check or falsify: there is a $C^\infty$ surjective map $S^1 \to S^1 \times S^1$.
66604
No Smooth Onto Map from Circle to Torus
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
16647
Is the world $C^\infty$?
113799
Is there an injective $C^1$ curve dense in the plane?
92588
Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
151295
Proving $|S \times \mathbb{N}|=|S|$ when $S$ is an infinite set
154837
mapping properties of $(1−z)^i$
20383
True or False: there is a space $X$ such that $S^1$ is homeomorphic to $X\times X$
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
15095
continuous onto map from $(0,1)\to (0,1]$
92303
Homology of $S^1 \times (S^1 \vee S^1)$
88857
Prove that Gauss map on M is surjective
63453
A proof of the fact that the Fourier transform is not surjective from $\mathcal{L}^1(\mathbb{R})$ to $C_0( \mathbb{R})$
41617
If a $C^1$ map $f:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ is expanding ($\|f(x)-f(y)\|\geq\|x-y\|$), which of these must be true?
79285
Does there exist a continuous surjection from $\Bbb R^3-S^2$ to $\Bbb R^2-\{(0,0)\}$?
65472
From injective map to continuous map