  Let k be a field, Q a quiver with countably many vertices and I an ideal of
kQ such that kQ/I has finite dimensional Hom-spaces. In this note, we prove
that there is no almost split sequence ending at an indecomposable not finitely
presented representation of the bound quiver (Q,I). We then get that an
indecomposable representation M of (Q,I) is the ending term of an almost split
sequence if and only if it is finitely presented and not projective. The dual
results are also true.
