28 citations · 47 across the 8 of their papers we have counts for
11 papers
Splitting rational incomplete Mackey functors
David Barnes, Michael A. Hill, Magdalena Kedziorek
Inspired by equivariant homotopy theory, equivariant algebra studies generalisations of G-Mackey functors that do not have all transfer maps (also known as induction maps), for G a…
A model structure on prederivators for -categories
Daniel Fuentes-Keuthan, Magdalena Kedziorek, Martina Rovelli
By theorems of Carlson and Renaudin, the theory of -categories embeds in that of prederivators. The purpose of this paper is to give a two-fold answer to the inverse pr…
An algebraic model for rational naive-commutative ring SO(2)-spectra and equivariant elliptic cohomology
David Barnes, J. P. C. Greenlees, Magdalena Kedziorek
Equipping a non-equivariant topological -operad with the trivial -action gives an operad in -spaces. For a -spectrum, being an algebra over this operad does not…
An algebraic model for rational toral G-spectra
David Barnes, J. P. C. Greenlees, Magdalena Kedziorek
For G a compact Lie group, toral G-spectra are those rational G-spectra whose geometric isotropy consists of subgroups of a maximal torus of G. The homotopy category of rational to…
Lifting accessible model structures
Richard Garner, Magdalena Kedziorek, Emily Riehl
A Quillen model structure is presented by an interacting pair of weak factorization systems. We prove that in the world of locally presentable categories, any weak factorization sy…
An algebraic model for rational naive-commutative equivariant ring spectra
David Barnes, J. P. C. Greenlees, Magdalena Kedziorek
Equipping a non-equivariant topological E_\infty operad with the trivial G-action gives an operad in G-spaces. The algebra structure encoded by this operad in G-spectra is characte…
The homotopy theory of coalgebras over simplicial comonads
Kathryn Hess, Magdalena Kedziorek
We apply the Acyclicity Theorem of Hess, Kerdziorek, Riehl, and Shipley (recently corrected by Garner, Kedziorek, and Riehl) to establishing the existence of model category structu…
An algebraic model for rational SO(3)-spectra
Magdalena Kedziorek
Greenlees established an equivalence of categories between the homotopy category of rational SO(3)-spectra and the derived category DA(SO(3)) of a certain abelian category. In this…
Motivic Homotopical Galois Extensions
Agnes Beaudry, Kathryn Hess, Magdalena Kedziorek +2
We establish a formal framework for Rognes's homotopical Galois theory and adapt it to the context of motivic spaces and spectra. We discuss examples of Galois extensions between E…
An algebraic model for rational G-spectra over an exceptional subgroup
Magdalena Kedziorek
We give a simple algebraic model for rational G-spectra over an exceptional subgroup, for any compact Lie group G. Moreover, all our Quillen equivalences are symmetric monoidal, so…
Left-induced model structures and diagram categories
Marzieh Bayeh, Kathryn Hess, Varvara Karpova +3
We prove existence results a la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We furt…