Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds
J. C. Gómez-Larrañaga, F. González-Acuña, WOLFGANG H. HEIL · arXiv (Cornell University) · 2016
Trivalent $2$-stratifolds are a generalization of $2$-manifolds in that there are disjoint simple closed curves where three sheets meet. We obtain a classification of $1$-connected $2$-stratifolds in terms of their associated labeled graphs and develop operations that will construct from a single vertex all graphs that represent $1$-connected $2$-stratifolds.