Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Osorno, Angelica M."'
Autor:
Mazur, Kristen, Osorno, Angelica M., Roitzheim, Constanze, Santhanam, Rekha, Van Niel, Danika, Castro, Valentina Zapata
Bi-incomplete Tambara functors over a group $G$ can be understood in terms of compatible pairs of $G$-transfer systems. In the case of $G = C_{p^n}$ , Hill, Meng and Li gave a necessary and sufficient condition for compatibility and computed the exac
Externí odkaz:
http://arxiv.org/abs/2401.13523
We define a tensor product for permutative categories and prove a number of key properties. We show that this product makes the 2-category of permutative categories closed symmetric monoidal as a bicategory.
Comment: 84 pages
Comment: 84 pages
Externí odkaz:
http://arxiv.org/abs/2211.04464
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order $[n]$, we enumerate all model structures, exhibiting a rich combinatorial structure e
Externí odkaz:
http://arxiv.org/abs/2109.07803
We prove a multiplicative version of the equivariant Barratt-Priddy-Quillen theorem, starting from the additive version proven in arXiv:1207.3459. The proof uses a multiplicative elaboration of an additive equivariant infinite loop space machine that
Externí odkaz:
http://arxiv.org/abs/2102.13246
For a finite group $G$, $G$-transfer systems are combinatorial objects which encode the homotopy category of $G$-$N_\infty$ operads, whose algebras in $G$-spectra are $E_\infty$ $G$-spectra with a specified collection of multiplicative norms. For $G$
Externí odkaz:
http://arxiv.org/abs/2102.04415
In this paper we show that the strict and lax pullbacks of a 2-categorical opfibration along an arbitrary 2-functor are homotopy equivalent. We give two applications. First, we show that the strict fibers of an opfibration model the homotopy fibers.
Externí odkaz:
http://arxiv.org/abs/2010.11173
Autor:
Bangs, Kayleigh, Binegar, Skye, Kim, Young, Ormsby, Kyle, Osorno, Angélica M., Tamas-Parris, David, Xu, Livia
For a finite group G, we introduce the complete suboperad $Q_G$ of the categorical G-Barratt-Eccles operad $P_G$. We prove that $P_G$ is not finitely generated, but $Q_G$ is finitely generated and is a genuine $E_\infty$ G-operad (i.e., it is $N_\inf
Externí odkaz:
http://arxiv.org/abs/1907.00933
Autor:
Bergner, Julia E., Osorno, Angélica M., Ozornova, Viktoriya, Rovelli, Martina, Scheimbauer, Claudia I.
Publikováno v:
Ann. K-Th. 6 (2021) 97-136
In previous work, we develop a generalized Waldhausen $S_{\bullet}$-construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. Here, we prove that this construction recovers the previously known $S_
Externí odkaz:
http://arxiv.org/abs/1901.03606
Publikováno v:
In Advances in Mathematics 1 February 2023 414
Autor:
Bergner, Julia E., Osorno, Angélica M., Ozornova, Viktoriya, Rovelli, Martina, Scheimbauer, Claudia I.
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 1267-1326
In a previous paper, we showed that a discrete version of the $S_\bullet$-construction gives an equivalence of categories between unital 2-Segal sets and augmented stable double categories. Here, we generalize this result to the homotopical setting,
Externí odkaz:
http://arxiv.org/abs/1809.10924