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Vector fields on spheres

By B.A. Kosmeijer


In this thesis we will discuss the problem of finding the maximal number of continuous pointwise linear independent vector fields on spheres in Euclidean space and give a more or less self sustaining determination of this number. We will discuss and prove both the results on the lower limit by Hurwitz and Radon and the results on the upper limit by Adams aswell as the prerequisits to set up the machinery to prove them

Topics: vector field, topology, sphere, Adams, K-Theory, algebraic topology, cohomology, homology, Stiefel-Whitney, Chern, Stiefel-Whitney class, Chern class, Chern character, group representation, Hurwitz-Radon, Hurwitz, Radon, fiber bundle, fiber, Čech cocycle
Year: 2016
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