English

2-dimensional stratifolds

Geometric Topology 2015-05-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1505.03188,
  title  = {2-dimensional stratifolds},
  author = {J. C. Gómez-Larrañaga and F. González-Acuña and Wolfgang Heil},
  journal= {arXiv preprint arXiv:1505.03188},
  year   = {2015}
}
R2 v1 2026-06-22T09:33:04.579Z