Show that $\mathbb{R}^{n}$ ($n>2$) minus a countable number of lines is still path-connected
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
104411
sum of two connected subset of $\mathbb{R}$
67088
Closure and pathwise connected
127919
prove that if $E$ is connected and $E \subseteq F \subseteq \overline{E}$, then $F$ is connected.
62755
The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$
92554
How many lattice paths are there from $(0,0)$ to $(2n,2n)$ that avoids odd points
16517
Arcwise connected part of $\mathbb R^2$
13468
When does open and connected imply path-connected?
138178
Proving the number of iterations in the Euclidean algorithm
93623
Showing that every connected open set in a locally path connected space is path connected
61816
Cut points and connected space
57644
Lower bounds for ${{2n} \choose {n}}$
82295
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
123626
Prove that even $n$ can be partitioned to $\frac n2$ edges
101033
Algorithm for procedureral 2D map with connected paths
33822
Is there a monoid structure on the set of paths of a graph?
55486
Topological proof to show a complement set of a set is polygonally connected