On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces
type: Item
instance of: scholarly article
title: On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces
zbMATH Open document ID: 0569.55006
DOI: 10.1007/BF01168347
published in: Manuscripta Mathematica
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155065
review text: The first part of the paper is a recollection of results on rationalized H and co-H-spaces. Proofs get rid of the finite type assumptions. The second part concerns decomposable H-spaces and co-H spaces over a subring R of \({\mathbb{Q}}\), which contains 1/2 and 1/3. Criteria for decomposability are obtained. The main result is the description of the multiplicative structure of [X,E] (resp. [C,X]) when E is a decomposable H-space (resp. C is a decomposable co-H space) for some X.
Mathematics Subject Classification ID: 55Q05
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 55P40
zbMATH DE Number: 3909332
zbMATH Keywords: groups of homotopy classes
zbMATH Keywords: rationalized H and co-H-spaces
zbMATH Keywords: decomposable H-spaces
author: Hans Scheerer
reviewed by: Jean-Claude Thomas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3909332