1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
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…
The Equivariant Fundamental Groupoid as an Orbifold Invariant
Dorette Pronk, Laura Scull
We construct a 2-category version of tom Dieck's equivariant fundamental groupoid for representable orbifolds and show that the discrete fundamental groupoid is Morita invariant; h…
A Homotopy Category for Graphs
Tien Chih, Laura Scull
We show that the category of graphs has the structure of a 2-category with homotopy as the 2-cells. We then develop an explicit description of homotopies for finite graphs, in term…
Classifying spaces and Bredon (co)homology for transitive groupoids
Carla Farsi, Laura Scull, Jordan Watts
We define the orbit category for transitive topological groupoids and their equivariant CW-complexes. By using these constructions we define equivariant Bredon homology and cohomol…
Spectral sequences of operad algebras
K. Bauer, L. Scull
We identify conditions under which it is guaranteed that an action of an operad on the page of a spectral sequence passes to for and hence to the pa…