An application of the Closed Graph Theorem
38584
$T\colon L^2[0,1] \to L^2[0,1]$ be a bounded linear map of Hilbert spaces such that if $f\in L^2[0,1]$ is continuous then so is $Tf$.
124666
Hamiltonian and non-Hamiltonian connected graph using the same degree sequence
19807
Connected graph with colored edges
90559
Partitioning of a graph
6429
prove that a connected graph with $n$ vertices has at least $n-1$ edges
37754
Number of vertices of a complete graph with $n$ edges
137322
Construction of a triangle-free graph of chromatic number $1526$
142202
eigenvalues of cycle graph and its complement graph
90747
Upper bound on $\chi(G)$ for a triangle-free graph
65196
Gluing Lemma for Closed Sets: Infinite Cover Counter-Example
67088
Closure and pathwise connected
59203
isomorphic planar graph with its complement
81550
Linking two theorems: on algebraic closure and on minimal splitting field
33373
Balanced orientation of infinite graphs
7626
Proving that every connected graph has a vertex whose removal will not disconnect the graph.
112303
Distances between closed sets on metric spaces
156850
Fix-Point Theorem Proof.