  We study affine maps between CAT(0) spaces with geometric actions, and show
that they essentially split as products of dilations and linear maps (on the
Euclidean factor). This extends known results from the Riemannian case.
Furthermore, we prove a splitting lemma for the Tits boundary of a CAT(0) space
with geometric action, a variant of a splitting lemma for geodesically complete
CAT(1) spaces by Lytchak.
