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dc.contributor.advisor Rector, David L.
dc.creatorPapakonstantinou, Anne Janes
dc.date.accessioned 2016-04-22T21:59:42Z
dc.date.available 2016-04-22T21:59:42Z
dc.date.issued 1971
dc.identifier.citation Papakonstantinou, Anne Janes. "K-Theory and the Hopf invariant." (1971) Master’s Thesis, Rice University. https://hdl.handle.net/1911/90088.
dc.identifier.urihttps://hdl.handle.net/1911/90088
dc.description.abstract The determination of which spheres, Sn, posses the structure of an H-space is an important question in Algebraic Topology. This thesis will discuss a proof of Theorem (Adams): Sn has an H-structure if and only if n = 0, 1, 3 or 7 . One defines an invariant called the Hopf Invariant which allows one to prove Theorem (Adams): There is a map f: S2n-1 -> Sn of Hopf Invariant 1 if and only if n = 1, 2, 4, or 8. The proof of this theorem uses the K-theory methods of Adams and Atiyah.
dc.format.extent 14 pp
dc.language.iso eng
dc.title K-Theory and the Hopf invariant
dc.identifier.digital RICE1124
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1971 Papakonstant


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