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The extension problem and the mod 2 cohomology of the space of loops on Spin (N)

Published online by Cambridge University Press:  14 November 2011

Katsuhiko Kuribayashi
Katsuhiko Kuribayashi
Affiliation:
Department of Mathematics, Gunma College of Technology, 580 Toribamachi, Maebashi, Gunma 371, Japan
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Synopsis

Let {Er, dr} be a spectral sequence converging to a Hopf algebra H*. We give a method of reconstructing H* from E∞**. By using our method, we determine the mod 2 cohomology of the space of loops on a simply-connected space whose mod 2 cohomology is isomorphic to that of Spin(N) as an algebra over the Steenrod algebra.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 1-2 , 1992 , pp. 91 - 99
Copyright
Copyright © Royal Society of Edinburgh 1992

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