3 citations · 16 across the 24 of their papers we have counts for
4 papers · 1 filter
Big categories, big spectra
Scott Balchin, Greg Stevenson
We introduce a new topological invariant of a rigidly-compactly generated tensor-triangulated category and two new notions of support. The first is based on smashing subcategories:…
Bousfield localisation and colocalisation of one-dimensional model structures
Scott Balchin, Richard Garner
We give an account of Bousfield localisation and colocalisation for one-dimensional model categories---ones enriched over the model category of -types. A distinguishing feature…
Crossed Simplicial Group Categorical Nerves
Scott Balchin
We extend the notion of the nerve of a category for a small class of crossed simplicial groups, explicitly describing them using generators and relations. We do this by first consi…
Factorisation and Cohomology of Higher Categories
Scott Balchin
We construct an iterative method for factorising small strict n-categories into a unique (up to isomorphism) collection of small 1- categories. Following this we develop the theory…