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pro vyhledávání: '"Verdugo, Paula"'
We build a hermitian Q-construction that extends that of Calm\`es et al, and compare it with the real S-construction of the current authors. From this, we deduce an equivalence between the real K-theory genuine $C_2$-spaces of the aforementioned work
Externí odkaz:
http://arxiv.org/abs/2410.07846
Given a cartesian closed category $\mathcal{V}$, we introduce an internal category of elements $\int_\mathcal{C} F$ associated to a $\mathcal{V}$-functor $F\colon \mathcal{C}^{\mathrm{op}}\to \mathcal{V}$. When $\mathcal{V}$ is extensive, we show tha
Externí odkaz:
http://arxiv.org/abs/2308.14455
We develop new techniques for constructing model structures from a given class of cofibrations, together with a class of fibrant objects and a choice of weak equivalences between them. As a special case, we obtain a more flexible version of the class
Externí odkaz:
http://arxiv.org/abs/2301.07801
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 1725-1786
We construct a model structure on the category $\mathrm{DblCat}$ of double categories and double functors, whose trivial fibrations are the double functors that are surjective on objects, full on horizontal and vertical morphisms, and fully faithful
Externí odkaz:
http://arxiv.org/abs/2007.00588
We construct a model structure on the category $\mathrm{DblCat}$ of double categories and double functors. Unlike previous model structures for double categories, it recovers the homotopy theory of 2-categories through the horizontal embedding $\math
Externí odkaz:
http://arxiv.org/abs/2004.14233
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories model stable 1-types.
Externí odkaz:
http://arxiv.org/abs/2001.05577
We develop a new framework to study real $K$-theory in the context of $\infty$-categories. For this, we introduce Waldhausen $\infty$-categories with genuine duality, which will be the input for such $K$-theory. These are Waldhausen $\infty$-categori
Externí odkaz:
http://arxiv.org/abs/1911.11682
Publikováno v:
In Topology and its Applications 1 July 2022 316
Autor:
Ortega-Verdugo, Paula1 (AUTHOR), Warren, John J.2 (AUTHOR), Gaeth, Gary J.3 (AUTHOR), Carter, Knute4 (AUTHOR), Kateeb, Elham5 (AUTHOR), Kolker, Justine L.6 (AUTHOR), Shane, Dan M.7 (AUTHOR)
Publikováno v:
Caries Research. 2023, Vol. 57 Issue 3, p243-254. 12p.
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