A confusion about the proof of the fact that $[0,1]$ is connected
3649
Closed unit interval is connected proof
12104
How to prove this result involving the quotient maps and connectedness?
31244
Is this a correct bijection between $(0,1]$ and $[0,1]$?
63442
Show that if $U$ is an open connected subspace of $\mathbb{R}^2$, then $U$ is path connected
111122
Proof of a theorem in Hilbert's system
143586
Is $[0,1]$ a union of family of disjoint closed intervals?
36315
Is $[0,1]$ a countable disjoint union of closed sets?
92588
Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
156727
A step in the proof of Characterization of $W^{1,\infty}$
79213
Proof about a Topological space being arc connect
102084
How to show path-connectedness of $GL(n,\mathbb{C})$
123742
Proving connectedness of the $n$-sphere
36044
Show $\Bbb R ^n$ with a finite set removed is still connected.
116538
Proof of Connected Diagrams
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
70266
1-1 correspondence between [0,1] and [0,1)
8317
Understanding a proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain as well".