Continious map from $\omega_1$ to $\mathbb{R}$.
88586
show that every continuous real-valued function defined on $S_{\mathbb{\Omega}}$ is eventually constant
37092
Homeomorphism between a cone in a compact space and this compactification
152493
Is an expanding map on a compact metric space continuous?
53809
Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions
110885
Does there exists a continuous surjection from $\mathbb{R}$ to $\mathbb{R}^2$?
31747
Uniqueness of continuous extension from $A$ to $\overline{A}$ for maps into a Hausdorff space
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
28500
What are the components and path components of $\mathbb{R}^{\omega}$ in the product, uniform, and box topologies?
42084
Set of points of continuity are $G_{\delta}$
62793
$\mathbb{R}$ with the lower limit topology is not second-countable
147350
Homeomorphism between $\prod X_i$ and the Cantor set
134575
Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
30178
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
128911
Continuous extension of a real function
116732
Proving that a continuous map is surjective
4538
Is the mapping $ d : X\times X \mapsto \mathbb {R} $ continuous?
9320
Extension of continuous function on a closed subset of $\mathbb{R}$