  In infinite graph theory, the notion of ends, first introduced by Freudenthal
and Jung for locally finite graphs, plays an important role when generalizing
statements from finite graphs to infinite ones. Nash-Willian's Tree-Packing
Theorem and MacLane's Planarity Criteria are examples of results that allow a
topological approach, in which ends might be considered as endpoints of rays.
In fact, there are extensive works in the literature showing that classical
theorems of (vertex-)connectivity for finite graphs can be discussed regarding
ends, in a more general context. However, aiming to generalize results of
edge-connectivity, this paper recalls the definition of edge-ends in infinite
graphs due to Hahn, Laviolette and \v{S}ir\'a\v{n}. In terms of that object, we
state an edge version of Menger's Theorem (following a previous work of Polat)
and generalize the Lov\'asz-Cherkassky Theorem for infinite graphs with
edge-ends (inspired by a paper of Jacobs, Jo\'o, Knappe, Kurkofka and Melcher).
