\(T\)-joins in infinite graphs (Q2363692)

Summary: We characterize the class of infinite graphs \(G\) for which there exists a \(T\)-join for any choice of an infinite \(T \subseteq V(G)\). We also show that the following well-known fact remains true in the infinite case. If \(G\) is connected and does not contain a \(T\)-join, then it will if we either remove an arbitrary vertex from \(T\) or add any new vertex to \(T\).