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, 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 -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
Specifically on a Thomason model structure on n-categories (cf. model structure on DblCat):
Thomas M. Fiore, Simona Paoli, Dorette A. Pronk, Model structures on the category of small double categories, Algebraic & Geometric Topology 8 (2008) 1855–1959 [doi:10.2140/agt.2008.8.1855]
Thomas M. Fiore, Simona Paoli, A Thomason model structure on the category of small -fold categories, Algebr. Geom. Topol. 10 4 (2010) 1933-2008 [arXiv:0808.4108, doi:10.2140/agt.2010.10.1933]
Introducing weakly globular n-fold categories:
Simona Paoli, Weakly globular -fold categories as a model of weak -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 -Categories, Springer (2019) [doi:10.1007/978-3-030-05674-2, toc pdf]
Last revised on October 20, 2023 at 09:34:49. See the history of this page for a list of all contributions to it.