  In this work we compute the first integral cohomology of the pure mapping
class group of a non-orientable surface of infinite topological type and genus
at least 3. To this purpose, we also prove several other results already known
for orientable surfaces such as the existence of an Alexander method, the fact
that the mapping class group is isomorphic to the automorphism group of the
curve graph along with the topological rigidity of the curve graph, and the
structure of the pure mapping class group as both a Polish group and a
semi-direct product.
