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We show that any infinite matroid can be reconstructed from the torsos of atree-decomposition over its 2-separations, together with local information atthe ends of the tree. We show that if the matroid is tame then this localinformation is simply a choice of whether circuits are permitted to use thatend. The same is true if each torso is planar, with all gluing elements on acommon face.

Reconstruction of infinite matroids from their 3-connected minors