activity
19982025
most citedPhantom Maps and Homology Theories

69 citations · 179 across the 35 of their papers we have counts for

collaborators

35 papers

math.RT2025

Global representation theory: Homological foundations

Miguel Barrero, Tobias Barthel, Luca Pol +2

A global representation is a compatible collection of representations of the outer automorphism groups of the groups belonging to some collection of finite groups . Gl…

math.AT2024

Arithmetic localisation and completion of spectra

Neil Strickland

This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things…

math.RT2021★ 2 cited

Representation stability and outer automorphism groups

Luca Pol, Neil P. Strickland

In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups . We encode this large amount of data into…

math.AT2020★ 2 cited

Algebraic theory of abelian groups

Neil Strickland

This document aims to give a self-contained account of the parts of abelian group theory that are most relevant for algebraic topology. It is almost purely expository, although the…

math.AT2020★ 1 cited

An introduction to the category of spectra

Neil Strickland

These notes give a brief introduction to the category of spectra as defined in stable homotopy theory. In particular, Section 5 discusses an extensive list of examples of spectra w…

math.AT2020★ 3 cited

The model structure for chain complexes

Neil Strickland

Let be the category of (possibly unbounded) chain complexes of abelian groups. In this note we construct the standard Quillen model structure on , by a metho…