$X,Y$ are locally path connected and path connected, with universal covers $\tilde{X}, \tilde{Y}$. If $X \simeq Y$ then $\tilde{X} \simeq \tilde{Y}$
32923
Homotopy equivalence of universal cover
80524
Path-connected and locally connected space that is not locally path-connected
86271
Spanning Trees: Prove if $e_1$ is an edge in $X$ that isn't in $Y$, then there exists an edge ...
42811
Product of path connected spaces is path connected
68786
"This property is local on" : properties of morphisms of $S$-schemes
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
114856
Universal property of initial topology
15354
Formal proof of $\exists x \forall y P(x,y) \implies \forall y \exists x P(x,y)$
60309
Let X be a subset of {1,2,...,2014}...
24767
$N(X)$ denotes collection of all nets of $X$. $T:N(X)\to \mathcal{P}(X)$ be a map such that $T\{x_\delta\}=T\{y_\gamma\}$ if one is subnet of other.
49994
Deduction of $\forall y \exists x (x=y)$
72556
Is the closure of path-connected set path connected?
93986
Connectivity, Path Connectivity and Differentiability
44673
$M$ connected $\iff$ $M$ and $\emptyset$ are the only subsets of $M$ open and closed at the same time
135783
Let $T$ and $T^{'}$ be topologies on set $X$ such that $T \leq T^{'}$. If $(X,T^{'})$ is path-connected, is $(X,T)$ path connected?
109682
Proposed proof of: If $A \subset B \subset \bar{A}$ and $A$ is connected, then $B$ is connected
35092
Match covered graph is 2-connected