Rational torus-equivariant homotopy I: calculating groups of stable maps

We construct an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and show it is of finite injective dimension. It can be used as a model for rational $G$-spectra in the sense that there is a homology theory \piA_*: G-spectra/Q --> A(G) on rational G-spectra with values in A(G), and the associated Adams spectral sequence converges for all rational $G$-spectra and collapses at a finite stage

Rational Z_p-Equivariant Spectra

We find a simple algebraic model for rational G-equivariant spectra, where G is the p-adic integers, via a series of Quillen equivalences. This model, along with an Adams short exact sequence, will allow us to easily perform constructions and calculations.Comment: 24 page

‘The dangers attending these conditions are evident’: public health and the working environment of Lancashire textile communities, c.1870–1939

This article examines the position of the working environment within public health priorities and as a contributor to the health of a community. Using two Lancashire textile towns (Burnley and Blackburn) as case studies and drawing on a variety of sources, it highlights how, while legislation set the industry parameters for legal enforcement of working conditions, local public health priorities were pivotal in setting codes of practice. The complexities entwined with identifying the working environment as a cause of ill health and with improving it were entangled within the local community health context. In addition, the multiple understandings of Medical Officers of Health surrounding the remit of their responsibilities impacted the local health context. These did not always parallel national regulations. Indeed, it was these local, community specific forces that set the public health agenda, determined its path and the place of the working environment within this

‘For the convenience and comfort of the persons employed by them’: The Lowell Corporation Hospital, 1839-1930’

The first industrial hospital in America opened in 1840 in Lowell, Massachusetts. The Lowell Corporation Hospital was sponsored by the town’s textile employers for ninety years. This article analyses the contextual complications surrounding the employers’ sustained funding of the hospital. Motivations for sustained sponsorship included paternalism, clinical excellence, business custom, the labour situation in Lowell, civic duty and the political advantages of paternalism. By analysing the changing local context of the hospital, this article argues that a broader, more integrated approach to healthcare histories and institution histories is needed if we are to fully understand the myriad of healthcare providers and their local and national importance

First steps in brave new commutative algebra

This is an expository account of completion and local cohomology in brave new commutative algebra, especially as it applies to completion theorems and their duals in equivariant topology. The first part is fairly direct, but the second considers Morita theory and Gorenstein ring spectra. This draws on work of the author with Benson, Dwyer, Iyengar and May, amongst others