8 citations · 10 across the 4 of their papers we have counts for
6 papers · 1 filter
Decompositions of three-dimensional Alexandrov spaces
Luis Atzin Franco Reyna, Fernando Galaz-García, José Carlos Gómez-Larrañaga +2
We extend basic results in -manifold topology to general three-dimensional Alexandrov spaces (or Alexandrov -spaces for short), providing a unified framework for manifold and…
The number of Simply-connected Trivalent -dimensional Stratifolds
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
We describe a method for counting the number of -connected trivalent -stratifolds with a given number of singular curves and -manifold components.
-stratifolds with fundamental group
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
-stratifolds are a generalization of -manifolds that occur as objects in applications such as in TDA. These spaces can be described by an associated bicoloured labelled graph…
Models of Simply-connected Trivalent -dimensional Stratifolds with an Implementation Code
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil +1
Trivalent -stratifolds are a generalization of -manifolds in that there are disjoint simple closed curves where three sheets meet. We develop operations on their associated l…
2-stratifold spines of closed 3-manifolds
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
-stratifolds are a generalization of -manifolds in that there are disjoint simple closed branch curves. We obtain a list of all closed -manifolds that have a -stratifol…
2-dimensional stratifolds
J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil
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-…