Brown representability for the dual
type: Item
instance of: scholarly article
title: Brown representability for the dual
zbMATH Open document ID: 0906.18002
author: Amnon Neeman
published in: Inventiones Mathematicae
publication date: 1999-01-31T00:00:00Z
review text: Let \({\mathcal T}\) be the homotopy category of all spectra and \({\mathcal A}b\) the category of abelian groups. The author dualizes Brown's theorem [\textit{E. H. Brown}, Ann. Math., II. Ser. 75, 467-484 (1962; Zbl 0101.40603)] and shows that a (covariant) homological functor \(H : {\mathcal T}\to {\mathcal A}b\) which respects products is representable.
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55U35
zbMATH DE Number: 1186164
zbMATH Keywords: category of spectra
zbMATH Keywords: representable homological functor
zbMATH Keywords: phantom map
reviewed by: Marek Golasiński
MaRDI profile type: Publication
full work available at URL: s002220050240
OpenAlex ID: W2077498616
DOI: 10.1007/S002220050240
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description: scientific article; zbMATH DE number 1186164