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H-space structures and Postnikov approximations

Published online by Cambridge University Press:  26 June 2003

STEPHAN KLAUS
STEPHAN KLAUS
Affiliation:
Mathematisches Forschungsinstitut Oberwolfach, Lorenzenhof, 77709 Oberwolfach-Walke, Germany. e-mail: klaus@mfo.de, www.mfo.de/Staff/klaus.html
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Abstract

In this paper, we give a positive answer for a special case of a problem posed by McGibbon [4]. We prove that a connected space with all homotopy groups finite has an H-space structure if and only all Postnikov approximations carry some H-space structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 133 - 135
Copyright
2003 Cambridge Philosophical Society

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