From the 1 of 5 linked papers with an AI index.
5 papers
Smash powers and traces on parametrized spectra: An application of rigidity
Cary Malkiewich, Kate Ponto
The paper develops formal constructions of equivariant smash powers and traces in the bicategory of parametrized spectra by applying rigidity and deformable functor techniques, pro…
Scissors automorphism groups II: Solomon-Tits theorems
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
The Solomon-Tits theorem says that the poset of proper non-trivial subspaces of a finite-dimensional vector space has realisation equivalent to a wedge of spheres. In this paper we…
Higher Spherical Scissors Congruence I: Hopf Algebra
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
In the study of the generalization of Hilbert's Third Problem to spherical geometry, Sah constructed a Hopf algebra of spherical polytopes with product given by join and coproduct…
From Hopf Algebras in Model Categories to Hopf Algebras in -categories
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
We show that algebra objects in model categories can be transferred to algebra objects in -categories, without any cofibrancy or fibrancy assumptions on the algebra. We fur…
On the functoriality of the space of equivariant smooth -cobordisms
Thomas Goodwillie, Kiyoshi Igusa, Cary Malkiewich +1
We construct an -functor that takes each smooth -manifold with corners to the space of equivariant smooth -cobordisms . We al…