On 14-connected finite H-spaces
type: Item
instance of: scholarly article
title: On 14-connected finite H-spaces
zbMATH Open document ID: 0682.55005
DOI: 10.1007/BF02765898
author: James P. Lin
author: Frank Williams
published in: Israel Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors show that there is no mod 2 H-space X with \(H^*(X;Z_ 2)=Z_ 2[x_{15}]/x^ 4_{15}\otimes \Lambda (x_{23},x_{27},x_{29})\). The proof consists of showing that there is no H-space X having the form \(H_*(\Omega X;Z_ 2)=\Lambda (u_{14})\otimes Z_ 2[u_{22},u_{26},u_{28},u_{58}]\).
reviewed by: Yasukuni Furukawa
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 57T25
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 55P35
zbMATH DE Number: 4117453
zbMATH Keywords: cohomology ring
zbMATH Keywords: homology of loop spaces
zbMATH Keywords: truncated polynomial ring
zbMATH Keywords: mod 2 H-space X
MaRDI profile type: Publication
cites work: On loop spaces without p torsion
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cites work: Higher Order Operations in the Mod 2 Cohomology of Finite H-Spaces
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cites work: Primitivity of the \(c_ 2\)-invariant
cites work: On 6-connected finite H-spaces with two torsion
cites work: Steenrod squares and \(H\)-spaces
cites work: Q5605153
cites work: Q4107640
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description: scientific article; zbMATH DE number 4117453