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Talk:Hopf invariant

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I noticed this article was missing and gave a little exposition of the subject. If anyone would like to add relevant cross references, that'd be good. If you'd like any clarifications, let me know. - Thomas

Thanks

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Ooh, thanks for adding the references to those papers!

No problem. Ryan Reich 15:50, 27 March 2006 (UTC)[reply]

Generalisations

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According to the article on the Hopf bundle, the construction can also be generalised to maps

by viewing as a set of -tuples which are never all zero and mapping them to . We can view as a cell complex with one -cell in dimension for , and we can attach a -cell via to obtain a new space . This operation does not change the lower cohomology, and we get again one generator and one generator .

Would it make sense to define an invariant such that ?