Is there a bijective, continuous mapping from $\mathbb{R}$ to the closed interval $[0,1]$?
38257
Continuous bijection from $(0,1)$ to $[0,1]$
12349
a construction of a continuous function from a normal space to [0,1]
14322
Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
15909
Bijection from $\mathbb R$ to $\mathbb {R^N}$
106884
Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
22210
Points of discontinuity of a bijective function $f:\mathbb{R} \to [0,\infty)$
44689
Explicit bijection between $[0,1)$ and $(0,1)$
97761
Show that a proper continuous map from $X$ to locally compact $Y$ is closed
21269
Bijective continuous function between $(0 ,\infty)$ and $\mathbb{R}$.
11405
If a nonempty set of real numbers is open and closed, is it $\mathbb{R}$? Why/Why not?
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
111246
product of two continuous proper maps
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
20284
Continuous injective map is strictly monotonic
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
143800
continuous map on $\mathbb{R}$ which is the identity on $\mathbb{Q}$ is the identity map, hence Aut$(\mathbb{R}/\mathbb{Q})= 1.$