Vector fields on spheres
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Bachelor Thesis
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Abstract
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.
Keywords
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