4 papers · 1 filter
A criterion for a Hurewicz cofibration to be a Quillen cofibration
Andrew Ronan
In this paper, we prove that -cofibrations between -cofibrant spaces are -cofibrations. We also present a number of applications, including a pushout-product property for…
The equivariant covering homotopy property
Andrew Ronan
In this paper, we explain how the more general context of generalised equivariant bundles allows for a simple inductive proof of the ECHP. We also make clear the link between the E…
Localisations and completions of nilpotent -spaces
Andrew Ronan
We develop the theory of nilpotent -spaces and their localisations, for a compact Lie group, via reduction to the non-equivariant case using Bousfield localisation. One poin…
Completion preserves homotopy fibre squares of connected nilpotent spaces
A. Ronan
We prove that completion at a set of primes preserves homotopy fibre squares of connected nilpotent spaces. As a consequence, we deduce the Hasse fracture square associated to a co…