Connectedness of set with $\sin(1/x)$ function
27581
Topologist's sine curve is connected
34177
Prove that $\mathbb{R}^2\setminus\mathbb{Q}^2$ is connected without path connectedness
40208
Locally Constant Functions on Connected Spaces are Constant
146364
$X$ is connected iff $\forall A\subset X,$ $\partial A\neq\emptyset$
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
58285
Is it true that if $X$ is connected, then for every nonempty proper subset $A$ of $X$, we have $\mathbf{Bd} \ne \emptyset$
103717
Topological Property of the Set of Integers
50645
Is the following set (path) connected?
35115
Questions on how to prove that a set of connectives is NOT functionally complete
116866
$A\times B$ connected component implies $A,B$ connect components
133633
A question about path-connected and arcwise-connected spaces
86860
Continuity of differentiable function $x^2\sin(1/x)$
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
89264
Connectedness in the Quotient Space
10127
Example of a sequence of closed and connected sets whose intersection is disconnected
15487
Continuous function from a connected set?
73690
If $\mathbb R^3\setminus V$ connected where $V$ is the subspace generated by $\{(1,1,1),(0,1,1)\} $