A core quantitative coeffect calculus

A Brunel, M Gaboardi, D Mazza… - European Symposium on …, 2014 - Springer
Linear logic is well known for its resource-awareness, which has inspired the design of
several resource management mechanisms in programming language design. Its resource …

Models of G-spectra as presheaves of spectra

B Guillou, JP May - arXiv preprint arXiv:1110.3571, 2011 - arxiv.org
Let G be a finite group. We give Quillen equivalent models for the category of G-spectra as
categories of spectrally enriched functors from explicitly described domain categories to …

Constructing equivariant spectra via categorical Mackey functors

AM Bohmann, A Osorno - Algebraic & Geometric Topology, 2015 - msp.org
We give a functorial construction of equivariant spectra from a generalized version of
Mackey functors in categories. This construction relies on the recent description of the …

Sheet diagrams for bimonoidal categories

C Comfort, A Delpeuch, J Hedges - arXiv preprint arXiv:2010.13361, 2020 - arxiv.org
Bimonoidal categories (also known as rig categories) are categories with two monoidal
structures, one of which distributes over the other. We formally define sheet diagrams, a …

The groupoid of finite sets is biinitial in the 2-category of rig categories

J Elgueta - Journal of Pure and Applied Algebra, 2021 - Elsevier
The groupoid of finite sets has a “canonical” structure of a symmetric 2-rig with the sum and
product respectively given by the coproduct and product of sets. This 2-rig FS et ˆ is just one …

[PDF][PDF] Homotopy theory of enriched mackey functors

N Johnson, D Yau - arXiv preprint arXiv:2212.04276, 2022 - people.math.rochester.edu
Mackey functors provide the coefficient systems for equivariant cohomology theories. More
generally, enriched presheaf categories provide a classification and organization for many …

Spectra associated to symmetric monoidal bicategories

AM Osorno - Algebraic & Geometric Topology, 2012 - msp.org
We show how to construct a Γ–bicategory from a symmetric monoidal bicategory and use
that to show that the classifying space is an infinite loop space upon group completion. We …

A higher Mackey functor description of algebras over an -operad

G Marc - arXiv preprint arXiv:2402.12447, 2024 - arxiv.org
Suppose $ G $ is a finite group. In this paper, we construct an equivalence between the
$\infty $-category of algebras over an $ N_ {\infty} $-operad $\mathcal {O} $ associated to a …

The Burnside bicategory of groupoids

H Miller - Boletín de la Sociedad Matemática Mexicana, 2017 - Springer
The Burnside bicategory of groupoids | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Boletín de la …

Word problems on string diagrams

A Delpeuch - 2021 - ora.ox.ac.uk
String diagrams are graphical representations of morphisms in various sorts of categories.
The mathematical results which establish their soundness and completeness provide an …