nLab Viktoriya Ozornova

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Selected writings

A model category structure on stratified simplicial sets modelling $(\infty,n)$-categories in the guise of $n$-complicial sets:

• Viktoriya Ozornova, Martina Rovelli, Model structures for (∞,n)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces, Algebr. Geom. Topol. 20 (2020) 1543-1600 [arxiv:1809.10621, doi:10.2140/agt.2020.20.1543]

On classes of categories which are fibrant in the Thomason model structure:

• Lennart Meier, Viktoriya Ozornova, Fibrancy of partial model categories, Homology, Homotopy and Applications, Volume 17 (2015) Number 2

  (arXiv:1408.2743, doi:10.4310/HHA.2015.v17.n2.a5)

On the adjunction unit of total décalage:

• Viktoriya Ozornova, Martina Rovelli, The unit of the total décalage adjunction, Journal of Homotopy and Related Structures 15 (2020) 333–349 [doi.org/10.1007/s40062-020-00257-1]

A model category structure on stratified simplicial sets modelling $(\infty,n)$-categories in the guise of $n$-complicial sets:

• Viktoriya Ozornova, Martina Rovelli, Model structures for (∞,n)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces, Algebr. Geom. Topol. 20 (2020) 1543-1600 [arxiv:1809.10621, doi:10.2140/agt.2020.20.1543]

A Quillen adjunction relating $n$-complicial sets to $n$-fold complete Segal spaces:

• Viktoriya Ozornova, Martina Rovelli, A Quillen adjunction between globular and complicial approaches to $(\infty,n)$-categories, Advances in Mathematics 421 (2023) 108980 [doi:10.1016/j.aim.2023.108980]

category: people