Does for every manifold $M$ exist a surjective continuous map $\phi:\Bbb R^d\to M$?
107148
Does there always exist a continuous/smooth map from $\mathbb{R}^n$ onto a manifold $M^n$?
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
45276
Continuous map on $S^2$
72642
Continuous bijection from $(a,b) \to S^1$?
52388
The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
115999
Is there always an injective map from a space in its dual space?
88857
Prove that Gauss map on M is surjective
11319
Is $M=\{(x,|x|): x \in (-1, 1)\}$ not a differentiable manifold?
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
44955
Can $\mathbb CP^n$ be the boundary of a compact manifold?
148500
Understanding this theorem and how to go about proving it surjectivity?
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
149999
fixed point of a continuous map on a projective space
90649
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
51334
Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?
152493
Is an expanding map on a compact metric space continuous?