7 citations · 11 across the 11 of their papers we have counts for
15 papers
Cops and Robbers: A -homotopy Invariant Variant
Tien Chih, Laura Scull
Cops and Robbers is a pursuit-evasion game played on graphs, of which many variants have been developed and studied. We introduce a variant of this game, "Sneaky-Active Cops and Ro…
Twisted Bredon-Illman Cohomology is a Morita Invariant
Carla Farsi, Laura Scull, Jordan Watts
We show that the twisted Bredon-Illman cohomology defined by Mukherjee-Mukherjee applied to compact Lie group action groupoids is Morita-invariant. This cohomology uses coefficient…
Bicategories of Action Groupoids
Carla Farsi, Laura Scull, Jordan Watts
We prove that the 2-category of action Lie groupoids localised in the following three different ways yield equivalent bicategories: localising at equivariant weak equivalences à la…
General 2-Dimensional Adjunctions, Universal Monads and Simplicial Structures
John Lauchlin MacDonald, Laura Scull
We use the general notion of 2-dimensional adjunction with given coherence equations as introduced by MacDonald-Stone, building on earlier work by Gray, to derive coherence equatio…
Homotopy Covers of Graphs
Tien Chih, Laura Scull
We develop a theory of -homotopy, fundamental groupoids and covering spaces that apply to non-simple graphs, generalizing existing results for simple graphs. We prove that…
Fundamental Groupoids for Graphs
Tien Chih, Laura Scull
In this paper, we develop a -homotopy fundamental groupoid for graphs, and show a functorial relationship to the 2-category of graphs. We further explore the fundamental gr…