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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.AT2007★ 24 cited
Model Structures on the Category of Small Double Categories
Thomas M. Fiore, Simona Paoli, Dorette A. Pronk
In this paper we obtain several model structures on {\bf DblCat}, the category of small double categories. Our model structures have three sources. We first transfer across a categ…
math.AT2007★ 7 cited
Translation Groupoids and Orbifold Bredon Cohomology
Dorette Pronk, Laura Scull
We show that the bicategory of (representable) orbifolds and good maps is equivalent to the bicategory of orbifold translation groupoids and generalized equivariant maps. We use th…