Show that $(R \times R) \setminus A$ is path connected
16517
Arcwise connected part of $\mathbb R^2$
127365
Question on showing a bijection between $\pi_1(X,x_0)$ and $[S^1, X]$ when X is path connected.
33822
Is there a monoid structure on the set of paths of a graph?
67088
Closure and pathwise connected
153492
Let $p\colon X \to Y$ be a quotient map then if each set $p^{-1}({y})$ is connected, and if $Y$ is connected, then $X$ is connected.
157218
If $E\subseteq X$ is connected, $E\cap A\neq\emptyset$ and $E\cap(X\setminus A)\neq\emptyset$ then $E\cap\partial A\neq\emptyset$
42266
Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$
114990
Is the complement of countably many disjoint closed disks path connected?
141643
Showing $\rho (x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric
91180
Show $R \setminus S$ is a union of prime ideals
116538
Proof of Connected Diagrams
50645
Is the following set (path) connected?
149605
Homeomorphism from $[0,1]\times[0,1]$ to $\overline{D}(0,1)$?
81220
Space which is connected but not path-connected
35631
$H_0(X,A) = 0 \iff A \cap X_i \neq \emptyset \forall $ path-components $X_i$
115695
If $X$ is a connected subset of a connected space $M$ then the complement of a component of $M \setminus X$ is connected
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?