Zobrazeno 1 - 10
of 421
pro vyhledávání: '"Acuña F"'
We describe a method for counting the number of $1$-connected trivalent $2$-stratifolds with a given number of singular curves and $2$-manifold components.
Externí odkaz:
http://arxiv.org/abs/2012.04015
$2$-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 triva
Externí odkaz:
http://arxiv.org/abs/1812.01589
Trivalent $2$-stratifolds are a generalization of $2$-manifolds in that there are disjoint simple closed curves where three sheets meet. We develop operations on their associated labeled graphs that will effectively construct from a single vertex all
Externí odkaz:
http://arxiv.org/abs/1805.06302
Publikováno v:
In Topology and its Applications 15 April 2022 311
$2$-stratifolds are a generalization of $2$-manifolds in that there are disjoint simple closed branch curves. We obtain a list of all closed $3$-manifolds that have a $2$-stratifold as a spine.
Externí odkaz:
http://arxiv.org/abs/1707.05663
$2$-stratifolds are a generalization of $2$-manifolds in that there are disjoint simple closed curves where several sheets meet. We show that the word problem for fundamental groups of $2$-stratifolds is solvable.
Externí odkaz:
http://arxiv.org/abs/1704.00686
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 devel
Externí odkaz:
http://arxiv.org/abs/1611.08013
Publikováno v:
In Topology and its Applications 1 March 2021 290
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 d
Externí odkaz:
http://arxiv.org/abs/1505.03188
We consider classes of fundamental groups of complements of various kinds of codimension 2 embeddings and show that, in general, the problem of deciding whether or not a group in one class belongs to a smaller class is algorithmically unsolvable.
Externí odkaz:
http://arxiv.org/abs/0908.4009