Generalized Bousfield lattices and a generalized retract conjecture
type: Item
instance of: scholarly article
title: Generalized Bousfield lattices and a generalized retract conjecture
zbMATH Open document ID: 1305.55006
DOI: 10.4171/PRIMS/142
author: Ryo Kato
author: Katsumi Shimomura
author: Yutaro Tatehara
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2014-11-21T00:00:00Z
review text: The authors record the definition of a \textit{Bousfield lattice} [\textit{A. K. Bousfield}, Comment. Math. Helv. 54, 368--377 (1979; Zbl 0421.55002)] and they indicate the definition of a \textit{retract conjecture}, cf. [\textit{M. Hovey} and \textit{J. F. Palmieri}, in: Meyer, Jean-Pierre (ed.) et al., Homotopy invariant algebraic structures. A conference in honor of J. Michael Boardman. AMS special session on homotopy theory, Baltimore, MD, USA, January 7-10, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 239, 175--196 (1999; Zbl 0947.55014)]. Their main objective is the generalization of both items from special categories to monoids. They have achieved the following theorem: The generalized retract conjecture holds on the stable homotopy category of harmonic spectra. Details are too involved and overloaded by notations to be recorded here.
reviewed by: Friedrich Wilhelm Bauer
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 06D75
zbMATH DE Number: 6371831
zbMATH Keywords: stable homotopy category
zbMATH Keywords: Bousfield lattice
zbMATH Keywords: retract conjecture
MaRDI profile type: Publication
Wikidata QID: Q123254448
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description: scientific article; zbMATH DE number 6371831