activity
19982025
most citedPhantom Maps and Homology Theories

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

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30 papers · 1 filter

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.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…

math.AT2020★ 1 cited

Is symmetric monoidal?

Neil Strickland

We verify that a certain functor is symmetric monoidal. This functor is used elsewhere in developing the model category theory of symm…

math.AT2019★ 4 cited

Iterated chromatic localisation

Neil Strickland, Nicola Bellumat

We study a certain monoid of endofunctors of the stable homotopy category that includes localizations with respect to finite unions of Morava -theories. We work in an axiomatic…