Sphere bundles and vector bundles in algebraic topology, Characteristic classes and numbers in differential topology, Homology of classifying spaces and characteristic classes in algebraic topology, Whitney Sum, Hopf Bundle, Geometric Dimension, Sectioning fiber spaces and bundles in algebraic topology, Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism), Real Projective 2n-Space, Euler Class, Non-Immersion