Loop structures on the homotopy type of S^3 revisited

Preprint

28 January 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0501513

Abstract

We observe that the Rector invariants classifying the genus of BS^3 show up in (orthogonal and unitary) K-theory. We then use this knowledge to show purely algebraically how the K-theory of the spaces in the genus of BS^3 differ. This provides new insights into a result of Notbohm in the case of BS^3.

Keywords

PURELY ALGEBRAICALLY
RECTOR INVARIANTS
LOOP STRUCTURES
HOMOTOPY TYPE
CLASSIFYING
KNOWLEDGE
K THEORY

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Version 1, 2005-01-28, ArXiv

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