Does the following map from the circle to the projective space of $\mathbb{R}^2$ admit a continuous section?
99060
Fiber from $S^1$ to $\mathbb{R} P^1$ that does not admit a section.
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
149095
$f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous
61481
Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
12490
A map is continuous if and only if for every set, the image of closure is contained in the closure of image
44955
Can $\mathbb CP^n$ be the boundary of a compact manifold?
103397
Homeomorphisms between infinite-dimensional Banach spaces and their spheres
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
31479
homeomorphism of cantor set extends to the plane?
143467
Continuous maps between compact manifolds are homotopic to smooth ones
15095
continuous onto map from $(0,1)\to (0,1]$
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
147788
Why is every map to an indiscrete space continuous?
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$
106081
The Projection to a Projective Line is Holomorphic