$M$ is path connected if and only if $M$ is connected
96781
connected manifolds are path connected
67088
Closure and pathwise connected
129580
Pulling back (affine or not) connections
35418
Equivalent definitions for simple connectivity
31266
Proof of "the continuous image of a connected set is connected"
120027
Checking connectivity of adjacency matrix
114599
$A \cup B$ and $A \cap B$ connected $\implies A$ and $B$ are connected
127965
Graph theory (Graph Connectivity)
42811
Product of path connected spaces is path connected
82578
Show that if $G$ is $2-$connected, then for any two vertices $u$ and $v$ there exists a cycle $C$ such that $u, v \in V (C)$
147961
Characterizing simply connected spaces
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.
81220
Space which is connected but not path-connected
126192
Connected, locally connected, path-connected but not locally path-connected subspace of the plane
57122
If $E$ is a connected space, then so is $\overline{E}$.
84654
The graph of xy = 1 is connected or not
97781
invertible matrices connected or not