J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
Published 2015-05-12Version 1
2-stratifolds are a generalization of 2-manifolds in that there are disjoint simple closed curves where several sheets meet. They arise in the study of categorical invariants of 3-manifolds and may have applications to topological data analysis. We define 2-stratifolds and study properties of their associated labeled graphs that determine which ones are simply connected.
Pseudo-Anosov maps and simple closed curves on surfaces
Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds
Models of Simply-connected Trivalent $2$-dimensional Stratifolds with an Implementation Code
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