Simona Paoli is a Senior Lecturer in Mathematics Institute, University of Aberdeen, Aberdeen U.K.
On higher category theory in terms of n-fold categories and comparison with the Tamsamani Simpson model:
T. M. Fiore, and S. Paoli, A Thomason model structure on the category of small n-fold categories, Algebraic and Geometric Topology, 10 (2010), 1933 - 2008.
T. M. Fiore, S. Paoli, D. A. Pronk, Model structures on the category of small double categories, Algebraic and Geometric Topology, 8 (2008) 1855-1959.
S. Paoli, Weakly globular $cat^n$-groups and Tamsamani’s model, Advances in Mathematics, 222, (2009) 621-727.
D. Blanc, S.Paoli, Comonad cohomology of track categories, Journal of Homotopy and Related Structures, published online 14 May 2019, arXiv.1801.05065
Introducing weakly globular n-fold categories:
Simona Paoli, Weakly globular $N$-fold categories as a model of weak $N$-categories, in: Simplicial Methods for Higher Categories, Algebra and Applications 26 Springer (2019) [arXiv:1609.04072, doi:10.1007/978-3-030-05674-2_12]
Simona Paoli, Simplicial Methods for Higher Categories – Segal-type Models of Weak $n$-Categories, Springer (2019) [doi:10.1007/978-3-030-05674-2, toc pdf]
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