2-stratifold with fundamental group **Z**

J. C. Gomez-Larranaga, F. Gonzalez-Acuna, W. Heil

2-stratifolds are a generalization of 2-manifolds that occur as
objects in applications such as in TDA. These spaces can be described
by an associated bicoloured labelled graph. In previous papers we
obtained a classification of 1-connected trivalent 2-stratifolds. In
this paper we classify trivalent 2-stratifolds that have fundamental
group **Z**. This classification implicitly gives an efficient
algorithm that applies to a bicoloured labelled graph to decide wether
the associated 2-stratifold has fundamental group **Z**.