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math.AT2019
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…
math.CO2019
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…