4 papers
Higher Categories and Slices of Globular Operads
Rhiannon Griffiths
In an unpublished preprint \cite{batanin}, Batanin conjectures that it is possible to take `slices' of a globular operad, thereby isolating the algebraic structure in each dimensio…
Cofibrantly generated model structures for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a genera…
Presentations for Globular Operads
Rhiannon Griffiths
In this paper we develop the theory of presentations for globular operads and construct presentations for the globular operads corresponding to several key theories of -category…
Enriched functor categories for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable f…