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H-space structures and Postnikov approximations

Published online by Cambridge University Press:  26 June 2003

STEPHAN KLAUS
Affiliation:
Mathematisches Forschungsinstitut Oberwolfach, Lorenzenhof, 77709 Oberwolfach-Walke, Germany. e-mail: [email protected], www.mfo.de/Staff/klaus.html

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
Copyright
2003 Cambridge Philosophical Society

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